AP EAMCET · Maths · Pair of Lines
The lines represented by \(a x^2+2 h x y+b y^2=0\) are perpendicular to each other, if ........
- A \(h^2=a+b\)
- B \(a+b=0\)
- C \(h^2=a b\)
- D \(h=0\)
Answer & Solution
Correct Answer
(B) \(a+b=0\)
Step-by-step Solution
Detailed explanation
Pair of straight lines through origin are given by \(a x^2+2 h x y+b y^2=0\) Angle " \(\theta\) ' between lines is given by, \(\tan \theta=\left|\frac{2 \sqrt{h^2-a b}}{a+b}\right|\) When lines are perpendicular \(\theta=90^{\circ}\)…
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