English Medium इयत्ता १० - CBSE Question Bank Solutions for Mathematics

If the zeroes of the polynomial x³ – 3x² + x + 1 are a – b, a, a + b, find a and b

If two zeroes of the polynomial x⁴ – 6x³ – 26x² + 138x – 35 are 2 ± `sqrt3` , find other zeroes

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:

2x² - 3x + 5 = 0

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:

`3x^2 - 4sqrt3x + 4 = 0`

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:

2x² - 6x + 3 = 0

Find the values of k for the following quadratic equation, so that they have two equal roots. 

2x² + kx + 3 = 0

Find the values of k for the following quadratic equation, so that they have two equal roots.

kx (x - 2) + 6 = 0

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m²? If so, find its length and breadth.

Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Is it possible to design a rectangular park of perimeter 80 and area 400 m²? If so find its length and breadth.

Check whether -150 is a term of the A.P. 11, 8, 5, 2, ....

An A.P. consists of 50 terms of which 3^rd term is 12 and the last term is 106. Find the 29^th term of the A.P.

If the 3rd and the 9th terms of an AP are 4 and –8 respectively, which term of this AP is zero?

How many multiples of 4 lie between 10 and 250?

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

Find the 20^th term from the last term of the A.P. 3, 8, 13, …, 253.

Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the n^th week, her week, her weekly savings become Rs 20.75, find n.

Find the sum of the following APs:

2, 7, 12, ..., to 10 terms.

Find the sum of the following APs.

−37, −33, −29, …, to 12 terms.

Find the sum of the following APs.

0.6, 1.7, 2.8, …….., to 100 terms.