Q.

If the quadratic equation ax2+bx+c=0  (a>0)  has sec2θ  and cosec2θ  as its roots, then which of the following must hold good?

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a

b+c=0

b

b2−4ac≥0

c

c≥4a

d

4a+b≥0

answer is A.

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Detailed Solution

Sum of the roots is equal to their product and the roots are real. Hence, −ba=ca          ⇒  b+c=0          ⇒  b2−4ac≥0
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If the quadratic equation ax2+bx+c=0  (a>0)  has sec2θ  and cosec2θ  as its roots, then which of the following must hold good?