TS EAMCET · Maths · Straight Lines
The equation of the straight line which is perpendicular to the line \(5 x-2 y=7\) and passing through the point of intersection of the lines \(2 x+3 y-1=0\) and \(3 x+4 y-6=0\) is
- A \(2 x+5 y-17=0\)
- B \(2 x+5 y+17=0\)
- C \(2 x+5 y+47=0\)
- D \(2 x+5 y-47=0\)
Answer & Solution
Correct Answer
(B) \(2 x+5 y+17=0\)
Step-by-step Solution
Detailed explanation
We have, \[ \begin{aligned} & 2 x+3 y-1=0 \\ & 3 x+4 y-6=0 \end{aligned} \] Solving Eqs. (i) and (ii), we get \[ x=14, y=-9 \] Equation of line perpendicular to the line \(5 x-2 y=7\) and passing through \((14,-9)\) is.…
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