AP EAMCET · Maths · Pair of Lines
A homogeneous equation of second degree in \(x\) and \(y\) represents which of the following?
- A Two lines
- B A pair of straight lines through the origin
- C Only one line through origin
- D A circle whose centre isn't the origin
Answer & Solution
Correct Answer
(B) A pair of straight lines through the origin
Step-by-step Solution
Detailed explanation
A homogeneous equation of second degree in \(x\) and \(y, a x^2+2 h x y+b y^2=0\), represents a pair of straight lines through origin, provided \(h^2 \geq a b\).
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