MHT CET · Maths · Pair of Lines
If one of the lines given by \(k x^{2}+x y-y^{2}=0\) bisects the angle between the co-ordinate axes, then values of \(k\) are
- A 1,2
- B 1,3
- C 0,2
- D \(-2,2\)
Answer & Solution
Correct Answer
(C) 0,2
Step-by-step Solution
Detailed explanation
Given equation of lines is \(k x^{2}+x y-y^{2}=0\)
\(\therefore \quad(-1) \mathrm{m}^{2}+\mathrm{m}+\mathrm{k}=0\) is auxillary equation
Since one line is angle bisector of coordinate axes, we write \(m=\pm 1\).
When \(m=1\), from auxillary equation, we get \(k=0\).
When \(m=-1\), from auxillary equation, we get \(k=2 .\)
\(\therefore \quad(-1) \mathrm{m}^{2}+\mathrm{m}+\mathrm{k}=0\) is auxillary equation
Since one line is angle bisector of coordinate axes, we write \(m=\pm 1\).
When \(m=1\), from auxillary equation, we get \(k=0\).
When \(m=-1\), from auxillary equation, we get \(k=2 .\)
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