AP EAMCET · Maths · Straight Lines
If \(2 x^2+3 x y-2 y^2=0\) represents two sides of a parallelogram and \(3 x+y+1=0\) is one of its diagonals, then the other diagonal is
- A \(x-3 y+1=0\)
- B \(x-3 y+2=0\)
- C \(x-3 y=0\)
- D \(3 x-y=0\)
Answer & Solution
Correct Answer
(C) \(x-3 y=0\)
Step-by-step Solution
Detailed explanation
As we know that, If the lines \(a x^2+2 h x y+b y^2=0\) be two sides of a parallelogram and the line \(l x+m y=1\) be one of its diagonals, then other diagonal is \[ y(b l-h m)=x(a m-h l) \] Here, \(a=2, b=-2, h=\frac{3}{2}\) \[ l=-3, m=-1 \] Putting all values in Eq. (i), we…
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