English Medium कक्षा १० - CBSE Important Questions for Mathematics

Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?

(HCF × LCM) for the numbers 70 and 40 is ______.

If HCF (72, 120) = 24, then LCM (72, 120) is ______.

Find the zeroes of the quadratic polynomial 4x² – 4x + 1 and verify the relation between the zeroes and the coefficients.

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is ______.

The number of quadratic polynomials having zeroes –5 and –3 is ______.

The zeroes of the polynomial 3x² + 11x – 4 are ______.

If one zero of the polynomial p(x) = 6x² + 37x – (k – 2) is reciprocal of the other, then find the value of k.

If α, β are the zeroes of the polynomial p(x) = 4x² – 3x – 7, then `(1/α + 1/β)` is equal to ______.

Find the zeroes of the quadratic polynomial x² + 6x + 8 and verify the relationship between the zeroes and the coefficients.

The zeroes of the quadratic polynomial 16x² – 9 are ______.

A fraction becomes `(1)/(3)` when 2 is subtracted from the numerator and it becomes `(1)/(2)` when 1 is subtracted from the denominator. Find the fraction.

A 2-digit number is such that the product of its digits is 24. If 18 is subtracted from the number, the digits interchange their places. Find the number.

Solve for x: `sqrt(3x^2)-2sqrt(2)x-2sqrt3=0`

Find that non-zero value of k, for which the quadratic equation kx² + 1 − 2(k − 1)x + x² = 0 has equal roots. Hence find the roots of the equation.

For what value of k, the roots of the equation x² + 4x + k = 0 are real?

Find the value of k for which the roots of the equation 3x² – 10x + k = 0 are reciprocal of each other.

Which of the following equations has 2 as a root?

Find the value of 'p' for which the quadratic equation p(x – 4)(x – 2) + (x –1)² = 0 has real and equal roots.

‘The sum of the ages of a boy and his sister (in years) is 25 and product of their ages is 150. Find their present ages.