M CUBE: MatheMatics by Maheshwari

The following tips will help students prepare well for the JEE Advanced 2020. Speed and accuracy – one of the most important aspects is rigorous practice. Aspirants are advised to practice as many problems, and questions from the previous year’s/ attempt reputed online test series for improving speed and accuracy. Both speed and accuracy matter … Continue reading What are your strategies to crack the IIT-JEE 2020?

M CUBE: MatheMatics by Maheshwari

The areas of two similar triangles are 360 & 250 sq units. If a side of the first triangle is 8 units, how long is the corresponding side of the second triangle?

What is the area of an obtuse angled triangle given with two sides are 8 and 12 and the angle included between two sides is 150 degree?

How can you prove that sec (3π/2 – θ) sec (θ – 5π /2) + Tan (5π /2 + θ) tan (θ – 3π /2) = – 1?

The dimensions of a cuboid has the ratio of 8:5:3, which has the surface area of 63200 cm sq, than what will be the volume of that cuboid?

If the difference and the product of two numbers are 16 and 47 respectively, then what do their reciprocals differ by?

The two legs of a right triangle measure 6 and 8 inches respectively. What is the area of the circle that contains all 3 vertices of the triangle?

Find the square root of 5 + 2√6?

What are your strategies to crack the IIT-JEE 2020?

Let AC be a line segment in the plane and B a point between A and C. Construct isosceles triangles PAB and QBC on one side of the segment AC such that ∠APB = ∠BQC = 120 and an isosceles triangle RAC on the other side of AC such that ∠ARC = 120. Show that PQR is an equilateral triangle

Let a, b, c be three real numbers such that 1 ≥ a ≥ b ≥ c ≥ 0. Prove that if λ is a root of the cubic equation x^3 + ax^2 + bx + c = 0 (real or complex),then |λ| ≤ 1.