CUET (UG) entrance exam Question Bank Solutions for Mathematics

If the sum of two-unit vectors is a unit vector, then the magnitude of their difference is

Two equal forces acting at a point with an angle of 60° between them, if the resultant is equal `30sqrt(3)N`, the magnitude of the force will be

The area under a velocity-time curve represents the change in ______?

Angle between two unit-magnitude coplanar vectors P(0.866, 0.500, 0) and Q(0.259, 0.966, 0) will be?

The sum of the series `log_4 2 - log_8 2 + log_16 2 + ...............` to `oo` is

Which of the following statements is false about forces/ couple?

Each student in a class of 40, studies at least one of the subjects English, Mathematics and Economics. 16 study English, 22 Economics and 26 Mathematics, 5 study English and Economics, 14 Mathematics and Economics and 2 study all the three subjects. The number of students who study English and Mathematics but not Economics is

In a triangle ABC three forces of magnitudes `3vec(AB), 2vec(AC)` and `6vec(CB)` are acting along the sides AB, AC and CB respectively. If the resultant meets AC at D, then the ratio DC : AD will be equal to :

Sum of n terms of series 1.3 + 3.5 + 5.7 + ______ is

Let A_n be the sum of the first n terms of the geometric series `704 + 704/2 + 704/4 + 704/8 + ...` and B_n be the sum of the first n terms of the geometric series `1984 - 1984/2 + 1984/4 + 1984/8 + ...` If A_n = B_n, then the value ofn is (where n ∈ N).

Sum of the first n terms of the series `1/2 + 3/4 + 7/8 + 15/16 +`......... is equal to:

What is the sum of the first 50 terms of the series (1 × 3) + (3 × 5) + (5 × 7) + ...?

The sum of the series 3.6 + 4.7 + 5.8 + ....... upto (n – 2) terms

Find the intercepts cut off by the plane `2x + y - z` = 5

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 ______.