CUET (UG) entrance exam Question Bank Solutions for Mathematics

`sin(tan^-1x), |x| < 1` is equal to

`tan^-1  (1 - x)/(1 + x) = 1/2tan^-1x, (x > 0)`, x then will be equal to.

`2tan^-1 (cos x) = tan^-1 (2"cosec"  x)`, then 'x' will be equal to

what is the value of `cos^-1 (cos  (13pi)/6)`

Value of `sin(pi/3 - sin^1 (- 1/2))` is equal to

What is the values of `cos^-1 (cos  (7pi)/6)`

If `sin(sin^-1  1/5 + cos^-1 x) = 1`, the what will be the value of x?

A type of problems which seek to maximise (or, minimise) profit (or cost) form a general class of problems called.

If x = a sec θ, y = b tan θ, then `("d"^2"y")/("dx"^2)` at θ = `π/6` is:

If 19^th term of a non-zero arithmetic progression (AP) is zero, then its (49^th term) : (29^th term) is

lf the straight lines `ax + by + p` = 0 and `x cos alpha + y sin alpha = p` are inclined at an angle π/4 and concurrent with the straight line `x sin alpha - y cos alpha` = 0, then the value of `a^2 + b^2` is

There are n students in a school. If r % among the students are 12 years or younger, which of the following expressions represents the number of students who are older than 12?

Which equation below represents a parabola that opens upward with a vertex at (0, – 5)?

The unit normal to the plane 2x + y + 2z = 6 can be expressed in the vector form as

`root(3)(4663) + 349` = ? ÷ 21.003

`[(5sqrt(7) + sqrt(7)) + (4sqrt(7) + 8sqrt(7))] - (19)^2` = ?

If `y = log_2 log_2(x)` then `(dy)/(dx)` =

Let (h, k) be a fixed point where h > 0, k > 0. A straight line passing through this point cuts the positive direction of the coordinate axes at the points P and Q. Then the minimum area of the ΔOPQ. O being the origin, is

The equation of curve through the point (1, 0), if the slope of the tangent to t e curve at any point (x, y) is `(y - 1)/(x^2 + x)`, is

A man is moving away from a tower 41.6 m high at a rate of 2 m/s. If the eye level of the man is 1.6 m above the ground, then the rate at which the angle of elevation of the top of the tower changes, when he is at a distance of 30 m from the foot of the tower, is