English Medium इयत्ता १० - CBSE Question Bank Solutions for Mathematics

Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)` 

Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial. 

If 3 is a zero of the polynomial `2x^2 + x + k`, find the value of k.

If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.

If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, then find the value of k. 

If 1is a zero of the quadratic polynomial `ax^2 – 3(a – 1)x – 1`is 1, then find the value of a.   

If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k. 

Write the zeros of the polynomial `f(x) = x^2 – x – 6`. 

If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..

If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k.. 

If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽 + 𝛼𝛽).

Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial. 

Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.` 

Find the zeroes of the quadratic polynomial `f(x) = 4sqrt3x^2 + 5x – 2sqrt3`.

If 𝛼, 𝛽 are the zeroes of the polynomial `f(x) = x^2 – 5x + k` such that 𝛼 - 𝛽 = 1, find the value  of k = ? 

If ∝ and β are the zeros of the polynomial f(x) = `6x^2 + x - 2 `find the value of `(∝/β+∝/β) ` 

If the zeroes of the polynomial `f(x) = x^3 – 3x^2 + x + 1` are (a – b), a and (a + b), find the values of a and b. 

Find the sum of  the following arithmetic series:

`7 + 10 1/2 + 14 + ....... + 84`

Find the sum of  the following arithmetic series:

34 + 32 + 30 +...+10

Find the sum of the following arithmetic series:

(-5)+(-8)+(-11)+...+(-230)