CUET (UG) entrance exam Question Bank Solutions for Mathematics

If all the elements are zero, then matrix is said to be

A = `[a_(ij)]_(m xx n)` is a square matrix, if

The number of all possible matrices of order 3/3, with each entry 0 or 1 is

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

If 'A' is square matrix, such that A² = A, then (7 + A)³ = 7A is equal to

Find X, If `[X - 5 - 1] [(1, 0, 2),(0, 2, 1),(2, 0, 3)][(x),(4),(1)] ` = 0

Let 'A' be a square matrix of order 3 × 3, then |KA| is equal to:

Which of the following is correct?

If the radius of a sphere is measured as 9 m with an error of 0.03 m. the find the approximate error in calculating its surface area

If `(x) = 3x^2 + 15x + 5`, then the approximate value of `f(3.02)` is

The approximate change in volume of a cube of side `x` meters coverd by increasing the side by 3% is

The number of arbitrary constant in the general solution of a differential equation of fourth order are

Which of the following equations has `y = c_1e^x + c_2e^-x` as the general solution?

The general solution of the differential equation `(dy)/(dx) = e^(x + y)` is

The general solution of the differential equation of the type `(dx)/(dy) + p_1y = theta_1` is

The general solution of the differential equation `(ydx - xdy)/y` = 0

The general solution of the differential equation `x^xdy + (ye^x + 2x)  dx` = 0

Find the general solution of differential equation `(dy)/(dx) = (1 - cosx)/(1 + cosx)`

What is the general solution of differential equation `(dy)/(dx) = sqrt(4 - y^2)  (-2 < y < 2)`

Find the equation of line which passes through the point (1, 2, 3) and is parallel to the vector `3hati + 2hatj - 2hatk`