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3-5-4-prove-that-%e2%88%a0dae-45%e2%97%a6/</loc><lastmod>2019-08-30T15:42:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/suppose-that-m-and-n-are-integers-such-that-both-the-quadratic-equations-x2-mx-%e2%88%92-n-0-and-x2-%e2%88%92-mx-n-0-have-integer-roots-prove-that-n-is-divisible-by-6/</loc><lastmod>2019-08-30T15:40:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/find-all-integers-a-b-c-such-that-a2-bc-1-b2-ca-1/</loc><lastmod>2019-08-30T15:22:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/suppose-32-objects-are-placed-along-a-circle-at-equal-distances-in-how-many-ways-can-3-objects-be-chosen-from-among-them-so-that-no-two-of-the-three-chosen-objects-are-adjacent-nor-diametrically-oppo/</loc><lastmod>2019-08-30T15:20:23+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/two-circles-%ce%b3-and-%cf%83-in-the-plane-intersect-at-two-distinct-points-a-and-b-and-the-centre-of-%cf%83-lies-on-%ce%b3-let-points-c-and-d-be-on-%ce%b3-and-%cf%83-respectively-such-that-c-b-a/</loc><lastmod>2019-08-30T15:18:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/find-all-real-numbers-a-such-that-4-a-5-and-aa%e2%88%923a-is-an-integer-here-a-denotes-the-fractional-part-of-a-for-example-1-5-0-5-%e2%88%923-4-0-6/</loc><lastmod>2019-08-30T15:16:25+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/suppose-for-some-positive-integers-r-and-s-the-digits-of-2r-is-obtained-by-permuting-the-digits-of-2s-in-decimal-expansion-prove-that-r-s/</loc><lastmod>2019-08-30T15:14:32+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/let-abc-be-an-acute-angled-triangle-the-circle-%ce%b3-with-bc-as-diameter-intersects-ab-and-ac-again-at-p-and-q-respectively-determine-%e2%88%a0bac-given-that-the-ortho-center-of-triangle-ap-q-lies/</loc><lastmod>2019-08-30T15:10:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/find-all-primes-p-and-q-such-that-p-divides-q2-%e2%88%92-4-and-q-divides-p2-%e2%88%92-1/</loc><lastmod>2019-08-30T15:07:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/relationship-between-arithmetic-mean-harmonic-mean-and-geometric-mean-of-two-numbers/</loc><lastmod>2019-08-30T08:43:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/derivation-of-general-term-sum-of-finite-and-infinite-geometric-progression/</loc><lastmod>2019-08-30T07:06:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/507/</loc><lastmod>2019-08-30T06:43:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/30/roots-of-a-quadratic-equation-and-derivation-of-quadratic-formula/</loc><lastmod>2019-08-30T04:33:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/let-x-y-z-be-real-numbers-each-greater-than-1-prove-that-x-1-y-1-y-1-z-1-z-1-x-1-%e2%89%a4-x-%e2%88%92-1-y-%e2%88%92-1-y-%e2%88%92-1-z-%e2%88%92-1-z/</loc><lastmod>2019-08-29T17:22:40+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/formulas-plane-trigonometry/</loc><lastmod>2019-08-29T17:16:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/let-aob-be-a-given-angle-less-than-180%e2%97%a6-and-let-p-be-an-interior-point-of-the-angular-region-determined-by-%e2%88%a0aob-show-with-proof-how-to-construct-using-only-ruler-and-compasses-a-l/</loc><lastmod>2019-08-29T15:31:04+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/in-a-cyclic-quadrilateral-abcd-let-the-diagonals-ac-and-bd-intersect-at-x-let-the-circumcircles-of-triangles-axd-and-bxc-intersect-again-at-y-if-x-is-the-incentre-of-triangle-aby-show-that/</loc><lastmod>2019-08-29T15:29:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/suppose-28-objects-are-placed-along-a-circle-at-equal-distances-in-how-many-ways-can-3-objects-be-chosen-from-among-them-so-that-no-two-of-the-three-chosen-objects-are-adjacent-nor-diametrically-oppo/</loc><lastmod>2019-08-29T15:27:57+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/19/jee-main-2020-eligibility-schedule-syllabus-paper-pattern-mock-tests-important-dates/</loc><lastmod>2019-08-29T15:21:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/let-abc-be-a-right-triangle-with-%e2%88%a0b-90%e2%97%a6-let-e-and-f-be-respectively-the-mid-points-of-ab-and-ac-suppose-the-incentre-i-of-triangle-abc-lies-on-the-circumcircle-of-triangle-aef-fi/</loc><lastmod>2019-08-29T15:12:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/find-all-real-numbers-a-such-that-3-a-4-and-aa%e2%88%923a-is-an-integer-here-a-denotes-the-fractional-part-of-a-for-example-1-5-0-5-%e2%88%923-4-0-6/</loc><lastmod>2019-08-29T15:12:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/find-all-fractions-which-can-be-written-simultaneously-in-the-forms-7k-%e2%88%92-5-5k-%e2%88%92-3-and-6l-%e2%88%92-1-4l-%e2%88%92-3-for-some-integers-k-l/</loc><lastmod>2019-08-29T15:10:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/let-abc-be-a-triangle-let-b-and-c-denote-respectively-the-reflection-of-b-and-c-in-the-internal-angle-bisector-of-%e2%88%a0a-show-that-the-triangles-abc-and-abc-have-the-same-in-centre/</loc><lastmod>2019-08-29T15:09:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/show-that-the-equation-a3-a-13-a-23-a-33-a-43-a-53-a-63-b4-b-14-has-no-solutions-in-integers-a-b/</loc><lastmod>2019-08-29T14:38:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/let-%cf%89-be-a-circle-with-a-chord-ab-which-is-not-a-diameter-let-%ce%b31-be-a-circle-on-one-side-of-ab-such-that-it-is-tangent-to-ab-at-c-and-internally-tangent-to-%cf%89-at-d-likewise-let-%ce%b3/</loc><lastmod>2019-08-29T14:30:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/consider-n-2-unit-squares-in-the-xy-plane-centred-at-point-i-j-with-integer-coordinates-1-%e2%89%a4-i-%e2%89%a4-n-1-%e2%89%a4-j-%e2%89%a4-n-it-is-required-to-colour-each-unit-square-in-such-a-wa/</loc><lastmod>2019-08-29T14:27:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/29/let-px-x-2-1-2-x-b-and-qx-x-2-cx-d-be-two-polynomials-with-real-coefficients-such-that-pxqx-qpx-for-all-real-x-find-all-the-real-roots-of-p-qx-0/</loc><lastmod>2019-08-29T14:20:25+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/28/the-80-80-20-triangle-problem/</loc><lastmod>2019-08-27T20:52:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/27/a-triangle-has-sides-of-lengths-3-cm-4-cm-and-5-cm-what-is-the-area-of-the-circle-inscribed-in-the-triangle/</loc><lastmod>2019-08-27T17:21:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/27/what-is-the-sum-of-all-natural-numbers-between-100-and-400-which-are-divisible-by-13/</loc><lastmod>2019-08-27T17:11:24+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/27/how-do-you-solve-the-equation-reducible-to-quadratic-x%c2%b2-3x%c2%b2-5-x%c2%b2-3x-60-for-x/</loc><lastmod>2019-08-27T17:02:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/22/do-there-exist-three-distant-positive-real-numbers-abc-such-that-the-numbers-abc-bc-a-ab-c-and-abc-form-a-7-term-arithmetic-progression-in-some-order/</loc><lastmod>2019-08-22T18:19:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/22/do-there-exists-100-lines-in-the-plane-no-three-of-them-concurrent-such-that-they-intersect-exactly-in-2002-points/</loc><lastmod>2019-08-22T18:10:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/22/theorem-the-angles-made-by-a-tangent-to-a-circle-with-a-chord-drawn-from-the-point-of-contact-are-respectively-equal-to-the-angles-in-the-alternate-segments-of-the-circle-alternate-segment-theorem/</loc><lastmod>2019-08-22T06:27:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/theorem-if-two-circles-touch-one-another-the-centres-and-the-point-of-contact-are-in-one-straight-line/</loc><lastmod>2019-08-21T17:50:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/let-r-denote-the-set-of-all-real-numbers-find-all-functions-f-r-%e2%86%92-r-satisfying-the-condition-fx-y-fxfyfxy-for-all-x-y-in-r/</loc><lastmod>2019-08-21T17:35:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/all-possible-6-digit-numbers-in-each-of-which-the-digits-occur-in-non-increasing-order-from-left-to-right-eg-877550-are-written-as-a-sequence-in-increasing-order-find-the-2005-th-number-in-this/</loc><lastmod>2019-08-21T17:15:56+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/kvpy-2019-notification/</loc><lastmod>2019-08-21T17:10:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/18/what-are-your-strategies-to-crack-the-iit-jee-2020/</loc><lastmod>2019-08-21T09:43:03+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/17/introduction-of-mathematical-olympiad/</loc><lastmod>2019-10-15T15:26:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/let-m-be-the-mid-point-of-side-bc-of-a-triangle-abc-let-the-median-am-intersect-the-in-circle-of-abc-at-k-and-l-k-being-nearer-to-a-than-l-if-akkllm-prove-that-the-sides-of-the-triangle-abc-are/</loc><lastmod>2019-08-21T09:17:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/theorem-the-tangent-at-any-point-of-a-circle-is-perpendicular-to-the-radius-drawn-to-the-point-of-contact/</loc><lastmod>2019-08-21T09:10:25+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/17/the-in-circle-of-triangle-abc-touches-the-sides-bc-ca-and-ab-in-k-l-and-m-respectively-the-line-through-a-and-parallel-to-lk-meets-mk-in-p-and-the-line-through-a-and-parallel-to-mk-meets-lk-in-q-s/</loc><lastmod>2019-08-21T08:13:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/how-many-6-digit-numbers-are-there-such-that-a-the-digits-of-each-number-are-all-from-the-set-12345/</loc><lastmod>2019-08-21T08:09:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/let-abc-be-three-natural-numbers-such-that-abc-and-gcdc-ac-b1-suppose-there-exists-an-integer-d-such-that-adbdcd-form-the-sides-of-a-right-angled-triangle-prove-that-there-exists/</loc><lastmod>2019-08-21T07:57:59+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/let-abc-be-a-triangle-and-d-be-the-mid-point-of-side-bc-suppose-%e2%88%a0dab-%e2%88%a0bca-and-%e2%88%a0dac-15-show-that-%e2%88%a0adc-is-obtuse-further-if-o-is-the-circumcentre-of-adc-prove-t/</loc><lastmod>2019-08-20T20:45:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/show-that-the-equation-x2y2z2x-yy-zz-x-has-infinitely-many-solutions-in-integers-xyz/</loc><lastmod>2019-08-20T20:24:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/a-66-square-is-dissected-into-9-rectangles-by-lines-parallel-to-its-sides-such-that-all-these-rectangles-have-integer-sides-prove-that-there-are-always-two-congruent-rectangles/</loc><lastmod>2019-08-20T20:15:33+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/21/prove-that-there-are-infinitely-many-positive-integers-n-such-that-nn1-can-be-expressed-as-a-sum-of-two-positive-squares-in-at-least-two-different-ways-here-a2b2-and-b2a2-are-considered-s/</loc><lastmod>2019-08-20T18:56:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/20/how-to-crack-ntse-stage-i-exam/</loc><lastmod>2019-08-20T08:09:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/20/how-to-ace-kishore-vaigyanik-protsahan-yojana-kvpy/</loc><lastmod>2019-08-20T06:39:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/20/let-abc-be-an-acute-angled-triangle-and-d-e-and-f-be-the-feet-of-the-perpendiculars-from-a-b-and-c-respectively-bc-ca-and-ab-let-the-perpendiculars-from-f-to-cb-ca-ad-be-meet-them-in-p-q-m/</loc><lastmod>2019-08-19T19:29:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/20/192/</loc><lastmod>2019-08-29T07:30:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://mathematicsbyvickymaheshwari.home.blog/2019/08/18/all-the-7-digit-numbers-containing-each-of-the-digits-1-2-3-4-5-6-7-exactly-once-and-not-divisible-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