AP EAMCET · Maths · Straight Lines
The equation of the line passing through the point of intersection of the lines \(x-3 y+2=0\) and \(2 x+5 y-7=0\) and perpendicular to the line \(3 x+2 y+5=0\) is :
- A \(2 x-3 y+1=0\)
- B \(6 x-9 y+11=0\)
- C \(2 x-3 y+5=0\)
- D \(3 x-2 y+1=0\)
Answer & Solution
Correct Answer
(A) \(2 x-3 y+1=0\)
Step-by-step Solution
Detailed explanation
The equation of lines are \(x-3 y+2=0\) ...(i) and \(2 x+5 y-7=0\) ...(ii) On solving Eqs. (i) and (ii), we get \(x=1, y=1\) \(\therefore\) The co-ordinates of a point of intersection of given lines are \((1,1)\). The equation of line perpendicular to \(3 x+2 y+5=0\) is…
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