MHT CET · Maths · Pair of Lines
The joint equation of two lines passing through \((-2,3)\) and parallel to the bisectors of the angle between the co-ordinate axes is
- A \(x^2-y^2+4 x+6 y-4=0\)
- B \(x^2+y^2+4 x+6 y-5=0\)
- C \(x^2-y^2+4 x+6 y-5=0\)
- D \(x^2+y^2+4 x+6 y+4=0\)
Answer & Solution
Correct Answer
(C) \(x^2-y^2+4 x+6 y-5=0\)
Step-by-step Solution
Detailed explanation
Slopes of bisectors of coordinate axes are \(m_1 = 1\), \(m_2 = -1\). Equation of line 1 (slope \(1\), through \((-2,3)\)): \(y - 3 = 1(x - (-2)) \Rightarrow y - 3 = x + 2 \Rightarrow x - y + 5 = 0\).
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