English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

Two A.P.'s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th term is

If 18, a, b, −3 are in A.P., the a + b =

The sum of n terms of two A.P.'s are in the ratio 5n + 9 : 9n + 6. Then, the ratio of their 18th term is

If \[\frac{5 + 9 + 13 + . . . \text{ to n terms} }{7 + 9 + 11 + . . . \text{ to (n + 1) terms}} = \frac{17}{16},\] then n =

The sum of n terms of an A.P. is 3n² + 5n, then 164 is its

If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is 

If 18^th and 11^th term of an A.P. are in the ratio 3 : 2, then its 21^st and 5^th terms are in the ratio

The sum of first 20 odd natural numbers is

The common difference of the A.P. is \[\frac{1}{2q}, \frac{1 - 2q}{2q}, \frac{1 - 4q}{2q}, . . .\] is 

The common difference of the A.P.

The common difference of the A.P. \[\frac{1}{2b}, \frac{1 - 6b}{2b}, \frac{1 - 12b}{2b}, . . .\] is 

If k, 2k − 1 and 2k + 1 are three consecutive terms of an A.P., the value of k is

The first three terms of an A.P. respectively are 3y − 1, 3y + 5 and 5y + 1. Then, y equals

Let the four terms of the AP be a − 3d, a − d, a + d and a + 3d. find A.P.

Suppose three parts of 207 are (a − d), a , (a + d) such that , (a + d)  >a >  (a − d). 

Suppose the angles of a triangle are (a − d), a , (a + d) such that , (a + d)  >a >  (a − d).

The term  A.P is 8, 10, 12, 14,...., 126 . find A.P.

x is nth term of the given A.P. a_n = x find x .

The given terms are 2k + 1, 3k + 3 and 5k − 1. find AP.

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