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If x = 2 is a root of the quadratic equation 3x2 – px – 2 = 0, then the value of ‘p’ is
If p = – 7 and q = 12 and x^{2}+px+q=0, then the value of ‘x’ is
The roots of a quadratic equation x^{2}−4px+4p^{2}−q^{2}=0 are
The two numbers whose sum is 27 and their product is 182 are
The common root of 2x^{2}+x−6 = 0 and x^{2}−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
If the sum and product of the roots of the equation kx^{2} + 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
If 'sin α' and 'cos α' are the roots of thr equation ax^{2} + bx + c = 0, then b^{2} =
The constant that must be added and subtracted to solve the quadratic equation by the method of completing the square is
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207 videos156 docs192 tests
