WBJEE · Maths · Straight Lines
Let \(d_{1}\) and \(d_{2}\) be the lengths of the perpendiculars drawn from any point of the line \(7 x-9 y+10=0\) upon the lines \(3 x+4 y=5\) and \(12 x+5 y=7,\) respectively. Then,
- A \(d_{1}>d_{2}\)
- B \(d_{1}=d_{2}\)
- C \(d_{1} < d_{2}\)
- D \(d_{1}=2 d_{2}\)
Answer & Solution
Correct Answer
(B) \(d_{1}=d_{2}\)
Step-by-step Solution
Detailed explanation
Let \((h, k)\) be any point on the line \(7 x-9 y+10=0,\) then \(7 h-9 k+10=0\) \(\Rightarrow \quad 7 h=9 k-10\) \(\Rightarrow \quad h=\frac{9 k-10}{7}\) Now, perpendicular distance from point \((h, k)\) to the line \(3 x+4 y=5\) is \(d_{1}\)…
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