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Question

In each question two equations are provided. On the basis of these you have to find out the relation between p and q. Give answer.

I. p2 - 19p + 88 = 0 II. q2 - 48q + 576 = 0

A if p = q Correct Answer Incorrect Answer
B if p > q Correct Answer Incorrect Answer
C if q > p Correct Answer Incorrect Answer
D if p ≥ q Correct Answer Incorrect Answer
E if q ≥ p Correct Answer Incorrect Answer

Solution

I. p2- 19p + 88 = 0
(p - 11) (p - 8) = 0
p = 11 or 8
II. q2- 48q + 576 = 0
(q – 24) (q – 24) = 0
q = 24 or 24
Hence, q > p
Alternate Method:
if signs of quadratic equation is -ve and +ve respectively then the roots of equation will be +ve and +ve.
So, roots of first equation = p = 11, 8
So, roots of second equation = q = 24
After comparing roots of quadratic eqution we can conclude that p < q.

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