English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

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

If 3 is a zero of the polynomial 2x² + x + k, find the value of k.

If one zero of the quadratic polynomial kx² + 3x + k is 2, then find the value of k.

If –4 is a zero of the polynomial x² – x – (2k + 2) is –4, then find the value of k.

If 1 is a zero of the quadratic polynomial ax² – 3(a – 1)x – 1 is 1, then find the value of a.

If –2 is a zero of the polynomial 3x² + 4x + 2k, then find the value of k.

Write the zeros of the polynomial f(x) = x² – x – 6.

If the sum of the zeros of the quadratic polynomial kx² – 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) = 6x² – 3.

Find the zeroes of the quadratic polynomial `f(x) = 4sqrt(3)x^2 + 5x - 2sqrt(3)`.

If α, β are the zeroes of the polynomial f(x) = x² – 5x + k such that α – β = 1, find the value of k = ?

If α and β are the zeros of the polynomial f(x) = 6x² + x – 2, find the value of  `(α/β + α/β)`.

If the zeroes of the polynomial f(x) = x³ – 3x² + 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)

Find the distance between the points:

A(9, 3) and B(15, 11)