CUET (UG) entrance exam Question Bank Solutions for Mathematics

Let `[x^y]` denotes the greatest integer of x^r and |x| denotes the modulus of x. Then `lim_(x -> 0) (sum_(r = 1)^(100) [x^r])/(1 + |x|)`

The equation of the tangent to the curve given by x = a sin³t, y = bcos³t at a point where t = `pi/2` is

If a = `(2sin theta)/(1 + costheta + sintheta)`, then `(1 + sintheta - costheta)/(1 + sintheta)` is 

If A = `[(cosx, sinx),(-sinx, cosx)]`, then A¹ A^–1 is 

If n is a positive integer, then `int_0^(2pi) (sin^(2n) x)/(sin^(2n) x + cos^(2n) x)  dx` is equal to

The point P(2, 4) is first reflected on the line y = x and then the image point Q is again reflected on the line y = – x to get the image point Q'. Then the circumcentre of the ΔPQO' is

If |Z₁| = |Z₂| and arg (Z₁) + arg (Z₂) = 0, then

Which of the following functions is inverse of itself?

The number of solutions of sin^–1x + sin^–1(1 – x) = cos^–1x is

sin 6θ + sin 4θ + sin 2θ = 0, then θ =

If `sqrt(2)` sec θ + tan θ = 1, then the general value of θ is

The inverse of `f(x) = sqrt(3x^2 - 4x + 5)` is

If `(-1)/sqrt(2) ≤ x ≤ 1/sqrt(2)` then `sin^-1 (2xsqrt(1 - x^2))` is equal to

What is the value of `sin^-1(sin  (3pi)/4)`?

Domain and Rariges of cos^–1 is:-

What will be the principal value of `sin^-1(-1/2)`?

What is the principal value of cosec^–1(2).

Find the principal value of `tan^-1 (sqrt(3))`

Find the value, if sin^–1x = y, then `->`:-

Values of tan^–1 – sec^–1(–2) is equal to