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JEE Previous Year Question

$A homogeneous equation of second degree in x and y represents which of the following?$

Topic: JEE PYQ

Answer: B. Full step-by-step solution below.

A $Two lines$
B $A pair of straight lines through the origin$
C $Only one line through origin$
D $A circle whose center isn't the origin$

Correct answer: B

Solution

(b) A homogeneous equation of second degree in terms of x and y can be given as a x^{2} + 2 hxy + b y^{2} = 0, represents a pair of straight lines through origin, provided that h^{2} \geq ab .

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