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The sum of the roots of the equation ax2 + x + c = 0 (where a and c are non-zero) is equal to the sum of the reciprocals of their squares. Then a, ca2 , c2 are in
The sum of the roots of the equation x2 + bx + c = 0 (where b and c are non-zero) is equal to the sum of the reciprocals of their squares. Then 1/c , b , c /b are in
If cot a and cot b are the roots of the equation x2 + bx + c = 0 with b ≠ 0, then the value of cot(a + b) is
If the graph of a quadratic polynomial lies entirely above x-axis, then which one of the following is correct ?
If the roots of the equation x2 + px + q = 0 are in the same ratio as those of the equation x2 + lx + m = 0, then which one of the following is correct ?
If the difference between the roots of the equation x2 + kx + 1 = 0 is strictly less than √5 , where |k| ≥ 2, then k can be any element of the interval
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