English Medium Class 10 - CBSE Question Bank Solutions

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)

Find the distance between the points

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

Find the distance between the points

(ii) A(7,-4)and B(-5,1)

Find the distance between the points

A(-6,-4) and B(9,-12)

Find the distance between the points

A(1,-3) and B(4,-6)

Find the distance between the points:

P(a + b, a - b) and Q(a - b, a + b)

Find the distance between the points

P(a sin ∝,a cos ∝ )and Q( acos ∝ ,- asin ∝)

Find the distance of the following points from the origin:

(i) A(5,- 12)

Find the distance of  the following points from the origin:

(ii) B(-5,5)

Find the distance of  the following points from the origin:

(iii) C (-4,-6)

Find all possible values of x for which the distance between the points

A(x,-1) and B(5,3) is 5 units.

Find all possible values of y for which distance between the points is 10 units.

Find value of x for which the distance between the points P(x,4) and Q(9,10) is 10 units.