Test: Quadratic Equations- 3 - UPSC MCQ

The roots of a quadratic equation x²−4px+4p²−q²=0 are

The two numbers whose sum is 27 and their product is 182 are

The common root of 2x²+x−6 = 0 and x²−3x−10 = 0 is

In a cricket match Kumble took three wickets less than twice the number of wickets taken by Srinath. The product of the number of wickets taken by these two is 20, then the number of wickets taken by Kumble is

(x² + 1)² - x² = 0 has

If the sum and product of the roots of the equation kx² + 6x + 4k = 0 are equal, then k = 

The product of two successive integral multiples of 5 is 1050. Then the numbers are

The angry Arjun carried some arrows for fighting with Bheeshma. With half the arrows, he cut down the arrows thrown by Bheeshma on him and with six other arrows he killed the rath driver of Bheeshma. With one arrow each he knocked down respectively the rath, flag and bow of Bheeshma. Finally with one more than four times the square root of arrows he laid Bheeshma unconscious on an arrow bed. The total number of arrows that Arjun had is

Which of the following has no real root?

If 'sin α' and 'cos α' are the roots of thr equation ax² + bx + c = 0, then b² =

The constant that must be added and subtracted to solve the quadratic equation   by the method of completing the square is

Which of the following has two distinct roots?