TS EAMCET · Maths · Straight Lines
The equation of the straight line passing through the point of intersection of \(5 x-6 y-1, \quad 3 x+2 y+5=0 \quad\) and perpendicular to the line \(3 x-5 y+11=0\) is
- A \(5 x+3 y+18=0\)
- B \(-5 x-3 y+18=0\)
- C \(5 x+3 y+8=0\)
- D \(5 x+3 y-8=0\)
Answer & Solution
Correct Answer
(C) \(5 x+3 y+8=0\)
Step-by-step Solution
Detailed explanation
We know that point of intersection of two lines i.e. \(a x_1+b y_1+c_1=0\) and \(a x_2+b y_2+c_2=0\) is \[ \left(\frac{b_1 c_2-b_2 c_1}{a_1 b_2-a_2 b_1}, \frac{c_1 a_2-c_2 a_1}{a_1 b_2-a_2 b_1}\right) \] \(\therefore\) Point of intersection of two lines i.e. \(5 x-6 y-1=0\) and…
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