WBJEE · Maths · Straight Lines
The angular points of a triangle are \(A(-1,-7)\) \(B(5,1)\) and \(C(1,4)\). The equation of the bisector of the angle \(\angle A B C\) is
- A \(x=7 y+2\)
- B \((\) b) \(7 y=x+2\)
- C \(y=7 x+2\)
- D \(7 x=y+2\)
Answer & Solution
Correct Answer
(B) \((\) b) \(7 y=x+2\)
Step-by-step Solution
Detailed explanation
Here, \(A B=\sqrt{(5+1)^{2}+(1+7)^{2}}=\sqrt{36+64}=10\) \(B C=\sqrt{\left(1-5)^{2}+(4-1)^{2}\right.}=\sqrt{16+9}=5\) By angle bisector theorem, \[ A P: C P=10: 5=2: 1 \]…
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