Q.

If one of the roots of equation x2+aα+3=0 is 3 and one of the roots of the equation x2+ax+b=0 is 3 and one of the roots of the equation x2+ax+b=0 is three times the other root, then the value of b is equal to

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a

3

b

4

c

2

d

1

answer is A.

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Detailed Solution

Give, 32+a3+3=0; a=-4Let roots of equation x2-4x+b=0 is α and 3α.α+3α=4⇒4α=4⇒α=1Hence 1-4+b=0⇒b=3
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If one of the roots of equation x2+aα+3=0 is 3 and one of the roots of the equation x2+ax+b=0 is 3 and one of the roots of the equation x2+ax+b=0 is three times the other root, then the value of b is equal to