JEE Mains · Maths · STD 11 - 9. straight line
Two equal sides of an isosceles triangle are along \(-x+2 y=4\) and \(x+y=4\). If m is the slope of its third side, then the sum, of all possible distinct values of \(m\), is :
- A \(-2 \sqrt{10}\)
- B \(12\)
- C \(6\)
- D \(-6\)
Answer & Solution
Correct Answer
(C) \(6\)
Step-by-step Solution
Detailed explanation
Slope of the third side = slope of the perpendicular bisector of given lines \(h: \frac{-x+2 y-4}{\sqrt{5}}= \pm \frac{x+y-4}{\sqrt{2}}\) \(h_1: \sqrt{2}(-x+2 y-4)=\sqrt{5}(x+y-4) \) \( h_2: \sqrt{2}(-x+2 y-4)=-\sqrt{5}(x+y-4) \)…
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