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Question

# ax2+2hxy+by2=0 always represents a pair of straight lines passing through the origin. If Column 1 Column 2 a. h2>ab 1. Lines are coincident b. h2=ab 2. Lines are real and distinct c. h2<ab 3. 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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