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Quadratic equation
I. p2 - 19p + 88 = 0 II. q2 - 48q + 576 = 0
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. p
2
- 19p + 88 = 0 II. q
2
- 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. p
2
- 19p + 88 = 0
(p - 11) (p - 8) = 0
p = 11 or 8
II. q
2
- 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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Practice Next
More Quadratic equation Questions
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(-y)
= 150
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