The value of k for which the quadratic equation kx^{2} − 5x + 1 = 0 does not have a real solution, is

(A) 0

(B) 25/4

(C) 4/25

(D) 7

Correct option is (D) 7

Explanation:

Given equation, kx^{2} − 5x + 1 = 0Here, a = k, b = -5, c = 1Since roots are not real,So, b² - 4ac < 0(-5)² - 4 x k x 1< 025 – 4k < 04k < 25

k < 25/4k < 6.25

The value of k is 7.