TS EAMCET · Maths · Straight Lines
If one of the lines in the pair of straight line given by \(4 x^2+6 x y+k y^2=0\) bisects the angle between the coordinate axes, then \(k \in\)
- A \(\{-2,-10\}\)
- B \(\{-2,10\}\)
- C \(\{-10,2\}\)
- D \(\{2,10\}\)
Answer & Solution
Correct Answer
(C) \(\{-10,2\}\)
Step-by-step Solution
Detailed explanation
Since, one of the lines represented by \(a x^2+2 h x y+k y^2=0 \quad\) bisect the angle between the axes therefore its equation is \(y=x\). Since, \(y=x\) satisfies \(a x^2+2 h x y+b y^2=0\), therefore \(a x^2+2 h x^2+b x^2=0\) \(\Rightarrow \quad(a+b)^2=4 h^2\) ...(i) Now for…
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