AP EAMCET · Maths · Pair of Lines
If the pairs of straight lines \(x^2-2 q x y-y^2=0\) and \(x^2-2 p x y-y^2=0\) bisect the angles between each other, then which of the following is correct?
- A \(1-p q=0\)
- B \(p q-1=0\)
- C \(p q+1=0\)
- D \(p q=0\)
Answer & Solution
Correct Answer
(C) \(p q+1=0\)
Step-by-step Solution
Detailed explanation
It is given that the pair of straight lines \(x^2-2 p x y-y^2=0\) and \(x^2-2 q x y-y^2=0\) bisect, the angles between each other, then equations \(\frac{x^2-y^2}{1-(-1)}=\frac{x y}{-p}\) and \(x^2-2 q x y-y^2=0\) represents same line, so \(x^2+\frac{2}{p} x y-y^2=0\) represents…
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