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Question

Question: If the quadratic equations, 3x<sup>2</sup> + ax + 1 = 0 and 2x<sup>2</sup> + bx + 1 = 0 have a comm...

If the quadratic equations, 3x2 + ax + 1 = 0 and

2x2 + bx + 1 = 0 have a common root, then the value of the

expression 5ab –2a2 –3b2 is:

A

0

B

1

C

–1

D

None of these

Answer

1

Explanation

Solution

Condition for common root

(3 –2)2 = (3b –2a) (a –b)

1 = 5ab –2a2 –3b2