AP EAMCET · Maths · Pair of Lines
If one of the lines represented by \(a x^2+2 h x y+b y^2=0\) bisects the angle between the positive coordinate axes, then
- A \(a+b=2 h\)
- B \(a-b=2 h\)
- C \(a+2 h+b=0\)
- D \(a+2 h-b=0\)
Answer & Solution
Correct Answer
(C) \(a+2 h+b=0\)
Step-by-step Solution
Detailed explanation
The line bisecting the angle between the positive coordinate axes is \(y=x\). Substitute \(y=x\) into \(a x^2+2 h x y+b y^2=0\): \(a x^2+2 h x(x)+b (x)^2=0\) \(x^2(a+2h+b)=0\) Thus, \(a+2h+b=0\).
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