English Medium इयत्ता १० - CBSE Important Questions

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.

Find the value of 'k' so that the quadratic equation 3x² – 5x – 2k = 0 has real and equal roots.

Determine the A.P. whose 3^rd term is 16 and the 7^th term exceeds the 5^th term by 12.

The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

If the ratio of sum of the first m and n terms of an AP is m² : n², show that the ratio of its  m^th and n^th terms is (2m − 1) : (2n − 1) ?

The next term of the A.P. \[\sqrt{7}, \sqrt{28}, \sqrt{63}\] is ______.

The Sum of first five multiples of 3 is ______.

If the sum of the first four terms of an AP is 40 and that of the first 14 terms is 280. Find the sum of its first n terms.

How many multiples of 4 lie between 10 and 205?

In an A.P., if S_n = 3n² + 5n and a_k = 164, find the value of k.

If sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256, find the sum of first 10 terms.