TS EAMCET · Maths · Pair of Lines
If \(a x^2+6 x y-2 y^2=0\) represents a pair of perpendicular lines and \(9 x^2+2 h x y+4 y^2=0(h>0)\) represents a pair of coincident lines then \(h=\)
- A 3a
- B 2a
- C a
- D 4a
Answer & Solution
Correct Answer
(A) 3a
Step-by-step Solution
Detailed explanation
Given equation \(a x^2+6 x y-2 y^2=0\) represents pair of perpendicular lines and \(9 x^2+2 h x y+4 y^2=0\) as pair of coincident lines. According to question coefficient of \(\left(\mathrm{x}^2\right)+\) coefficient of \(\left(\mathrm{y}^2\right)=0\) for perpendicular lines.…
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