JEE Mains · Maths · STD 11 - 9. straight line
If the straight line, \(2x -3y + 17 = 0\) is perpendicular to the line passing through the points \((7, 17)\) and \((15, \beta )\), then \(\beta \) equals:
- A \(\frac{35}{3}\)
- B \(-5\)
- C \(-\frac{35}{3}\)
- D \(5\)
Answer & Solution
Correct Answer
(D) \(5\)
Step-by-step Solution
Detailed explanation
Line perpendicular to \(2x-3y+5=0\) is \(3x+2y+c=0\) Which is satisified by point \((7,17)\) \( \Rightarrow 3\left( 7 \right) + 2\left( {17} \right) + c = 0\) \( \Rightarrow c = - 55\) \( \Rightarrow \) equation of line is \(3x+2y-55=0\)…
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