COMEDK · Maths · 10. Straight Lines
Distance of the point \((-2,3)\) from the line \(12 x-5 y-2=0\) is \(\dfrac{41}{k}\). Then the value of \(k\) is
- A \(\sqrt{134}\)
- B \(\sqrt{13}\)
- C \(1\)
- D \(13\)
Answer & Solution
Correct Answer
(D) \(13\)
Step-by-step Solution
Detailed explanation
The distance \(d\) of a point \((x_1, y_1)\) from the line \(Ax + By + C = 0\) is given by the formula \(d = \dfrac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}\). Given the point \((-2, 3)\) and the line \(12x - 5y - 2 = 0\), we have \(A = 12\), \(B = -5\), \(C = -2\), \(x_1 = -2\),…
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