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Question

If p,q and r are positive and are in AP, the roots of the quadratic equation px2+qx+r=0 are real for

A
rp743
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B
pr7<43
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C
all p and r
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D
no p and r
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Solution

The correct option is A rp743
p,q,r are in AP
2q=p+r
Since, px2+qx+r=0 has real roots
So, D0
q24pr0
(p+r2)24pr0
p2+r214pr0
p2r2+114pr0
(pr7)248
pr743

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