AP EAMCET · Maths · Pair of Lines
Which of the following pair of straight lines intersect at right angles?
- A \(2 x^2=y(x+2 y)\)
- B \((x+y)^2=x(y+3 x)\)
- C \(2 y(x+y)=x y\)
- D \(y= \pm 2 x\)
Answer & Solution
Correct Answer
(A) \(2 x^2=y(x+2 y)\)
Step-by-step Solution
Detailed explanation
For perpendicular pairs, \(a+b=0\) Now for pairs, \(\begin{aligned} & 2 x^2=y(x+2 y) \\ \Rightarrow \quad & 2 x^2-2 y^2-x y=0 \end{aligned}\) Coefficient of \(x^2+\) coefficient of \(y^2\) \(=2+-2=0\) So, there are perpendicular lines.
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