JEE Mains · Maths · STD 11 - 9. straight line
A line, with the slope greater than one, passes through the point \(A (4,3)\) and intersects the line \(x -\) \(y-2=0\) at the point \(B\). If the length of the line segment \(AB\) is \(\frac{\sqrt{29}}{3}\), then \(B\) also lies on the line..
- A \(2 x+y=9\)
- B \(3 x -2 y =7\)
- C \(x+2 y=6\)
- D \(2 x-3 y=3\)
Answer & Solution
Correct Answer
(C) \(x+2 y=6\)
Step-by-step Solution
Detailed explanation
Let \(B\left(x_{1}, x_{1}-2\right)\) \(\sqrt{\left(x_{1}-4\right)^{2}+\left(x_{1}-2-3\right)^{2}}=\frac{\sqrt{29}}{3}\) Squaring on both side \(18 x_{1}^{2}-162 x_{1}+340=0\) \(x_{1}=\frac{51}{9} \text { or } x_{1}=\frac{10}{3}\)…
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