CUET (UG) entrance exam Question Bank Solutions for Mathematics

Find the equation of the plane with intercept 3 on the y-axis and parallel to zox plane.

Find the equation of the plane passing through the line of intersection of the planes `vecr * (hati + hatj + hatk)` = 1 and `vecr * (2hati + 3hatj - hatk) + 4` = 0 and parallel to x-axis

Find the distance of the point (–1, –5, –10) from the point of intersection of the line `vecr = 2hati - hatj - 2hatk + lambda(3hati + 4hatj + 2hatk)` and the plane `vecr * (hati - hatj + hatk)` = 5

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane `vecr * (hati + 2hatj + 5hatk) + 9` = 0

Find the equation of the plane passing through (a, b, c) and parallel to the plane `vecr  * (hati + hatj + hatk)` = 2

`int (dx)/(e^x + e^(-x))` is equal to ______.

If `f(a + b - x) = f(x)`, then `int_0^b x f(x)  dx` is equal to

The value of `int_0^1 tan^-1 ((2x - 1)/(1 + x - x^2))  dx` is

What is the Cartesian product of A= {l, 2} and B= {a, b}?

If z + z^–1 = 1, then z¹⁰⁰ + z^–100 is equal to

If A, B are Symmetric matrices of same order, then AB – BA is a

If A, B are Symmetric matrices of same order, then AB – BA is a

A matrix in which the number of rows are equal to the number of columns is said to be a