English Medium Class 10 - CBSE Question Bank Solutions

Find the value of sin ` 48° sec 42° + cos 48°  cosec 42°`

If x =  a sin θ and y = bcos θ , write the value of`(b^2 x^2 + a^2 y^2)`

If 5x = sec ` theta and 5/x = tan theta , " find the value of 5 "( x^2 - 1/( x^2))`

If `cosec  theta = 2x and cot theta = 2/x ," find the value of"  2 ( x^2 - 1/ (x^2))`

If `sec theta + tan theta = x,"  find the value of " sec theta`

Find the value of `(cos 38° cosec 52°)/(tan 18° tan 35° tan 60° tan 72° tan 55°)`

If `sin theta = x , " write the value of cot "theta .`

If `sec theta = x ,"write the value of tan"  theta`.

Prove that `(sinθ - cosθ + 1)/(sinθ + cosθ - 1) = 1/(secθ - tanθ)`

If α, β, γ are the zeros of the polynomial f(x) = ax³ + bx² + cx + d, the\[\frac{1}{\alpha} + \frac{1}{\beta} + \frac{1}{\gamma} =\]

If α, β, γ are the zeros of the polynomial f(x) = ax³ + bx² + cx + d, then α² + β² + γ² =

If α, β, γ are are the zeros of the polynomial f(x) = x³ − px² + qx − r, the\[\frac{1}{\alpha\beta} + \frac{1}{\beta\gamma} + \frac{1}{\gamma\alpha} =\]

If α, β are the zeros of the polynomial f(x) = ax² + bx + c, then\[\frac{1}{\alpha^2} + \frac{1}{\beta^2} =\]

If two of the zeros of the cubic polynomial ax³ + bx² + cx + d are each equal to zero, then the third zero is

If two zeros x³ + x² − 5x − 5 are \[\sqrt{5}\ \text{and} - \sqrt{5}\], then its third zero is

The product of the zeros of x³ + 4x² + x − 6 is

What should be added to the polynomial x² − 5x + 4, so that 3 is the zero of the resulting polynomial?

What should be subtracted to the polynomial x² − 16x + 30, so that 15 is the zero of the resulting polynomial?

A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is