COMEDK · Maths · 10. Straight Lines
If 2 and 3 are intercepts of a line \(L=0\), then the distance of \(L \equiv 0\) from the origin is
- A \(\dfrac{5}{\sqrt{13}}\)
- B \(\dfrac{\sqrt{13}}{6}\)
- C \(\dfrac{6}{\sqrt{13}}\)
- D 1
Answer & Solution
Correct Answer
(C) \(\dfrac{6}{\sqrt{13}}\)
Step-by-step Solution
Detailed explanation
The intercept form of a line with x-intercept \(a\) and y-intercept \(b\) is given by \(\dfrac{x}{a} + \dfrac{y}{b} = 1\). Given \(a = 2\) and \(b = 3\), the equation of the line is \(\dfrac{x}{2} + \dfrac{y}{3} = 1\). Multiplying by 6, we get \(3x + 2y = 6\), or…
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