Mathematics Tes...

If the value of (1 + tan 1°)(1 + tan 2°)(1 + tan 3°)……….(1 + tan 44°)(1 +t an 45°) is 2^λ, then the sum of the digits of the number λ is

If 2f(xy) = (f(x))^y + (f(y))^x for all x, y ∈ R and f(1) = 3, then the value of  is equal to

If three positive real numbers a, b and c are in AP, with abc = 64, then minimum value of b, is

Consider a ΔABC with vertices at (0,−3)(−2√3, 3) and (2√3, 3), respectively. The incentre of the triangle with vertices at the mid-points of the sides of ΔABC is

If z is a non-real complex number, then the minimum value of  is (Where Im z = Imaginary part of z)

If p always speaks against qq, then p → p ∨ ~q is,

A tower T₁ of height 60 m is located exactly opposite to a tower T₂ of height 80 m on a straight road. From the top of T₁, if the angle of depression of the foot of T2 is twice the angle of elevation of the top of T₂, then the width (in mm) of the road between the feet of the towers T₁ and T₂ is

The equation of the plane passing through the point (1,−3,−2) and perpendicular to planes x + 2y + 2z = 5 and 3x + 3y + 2z = 8, is

Let A = {(x, y) : y = e^x, x ∈ R}, B = {(x, y) : y = e^−x, x ∈ R}. Then