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Question

# ax2+2hxy+by2=0 always represents a pair of straight lines passing through the origin. If Column 1Column 2a.h2>ab1. Lines are coincidentb.h2=ab2. Lines are real and distinctc.h2<ab3. Lines are imaginary with real point of intersection i.e. (0,0)

A

a-1, b-2, c-3

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B

a-2, b-1, c-3

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C

a-3, b-2, c-1

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D

a-3, b-1, c-2

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Solution

## The correct option is B a-2, b-1, c-3 A Homogeneous equation of degree two is ax2+2hxy+by2=0 represents pair of straight lines passing through the origin. Condition for pair of straight lines passing through origin. 1.If h2> ab Lines are distinct and real 2.When h2 = ab Both the lines are coincident 3.When h2 < ab Lines are imaginary with real point of intersection i.e. (0,0)

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