English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

Find the values of k for which the roots are real and equal in each of the following equation:

(k + 1)x² - 2(3k + 1)x + 8k + 1 = 0

Find the sum of the first 15 terms of each of the following sequences having the nth term as

`a_n = 3 + 4n`

Find the sum of the first 15 terms of each of the following sequences having the nth term as

b_n = 5 + 2n

Find the sum of the first 15 terms of each of the following sequences having the nth term as

y_n = 9 − 5n

Find the values of k for which the roots are real and equal in each of the following equation:

5x² - 4x + 2 + k(4x² - 2x - 1) = 0

Find the sum of first 20 terms of the sequence whose nth term is `a_n = An + B`

Find the values of k for which the roots are real and equal in each of the following equation:

(4 - k)x² + (2k + 4)x + 8k + 1 = 0

Find the sum of the first 25 terms of an A.P. whose nth term is given by a_n = 2 − 3n.

Find the values of k for which the roots are real and equal in each of the following equation:

(2k + 1)x² + 2(k + 3)x + (k + 5) = 0

Find the values of k for which the roots are real and equal in each of the following equation:

4x² - 2(k + 1)x + (k + 4) = 0

In an A.P., the sum of first n terms is `(3n^2)/2 + 13/2 n`. Find its 25^th term.

Find the values of k for which the roots are real and equal in each of the following equation:

x² - 2(k + 1)x + (k + 4) = 0

Find the values of k for which the roots are real and equal in each of the following equation:

k²x² - 2(2k - 1)x + 4 = 0

Find the values of k for which the roots are real and equal in each of the following equation:

(k + 1)x² - 2(k - 1)x + 1 = 0

Find the values of k for which the roots are real and equal in each of the following equation:

2x² + kx + 3 = 0

Find the values of k for which the roots are real and equal in each of the following equation:

kx(x - 2) + 6 = 0

Find the values of k for which the roots are real and equal in each of the following equation:

x² - 4kx + k = 0

In the following determine the set of values of k for which the given quadratic equation has real roots:

2x² + 3x + k = 0

In the following determine the set of values of k for which the given quadratic equation has real roots:

2x² + kx + 3 = 0

In the following determine the set of values of k for which the given quadratic equation has real roots:

2x² − 5x − k = 0