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Question

Find the discriminant for the quadratic equation represented by px2+pqx+q=0 and determine the nature of roots. (p and q have same sign)

A
D = 3pq;Roots are real and equal
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B
D = -3pq;Roots are not real
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C
D = 3pq;Roots are real and distinct.
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D
D = -3pq;Roots are real and equal
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Solution

The correct option is B D = -3pq;Roots are not real
px2+pqx+q=0

a=p,b=pq,c=q

D=b24ac

=(pq)24×p×q

=pq4pq=3pq

Since both p and q have same signs, so D will be negative i.e. <0

Hence, the roots are not real.

(b) is correct


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