COMEDK · Maths · 10. Straight Lines
If 3 and 4 are intercepts of a line \(L \equiv 0\), then the distance of \(L \equiv 0\) from the origin is
- A 5 units
- B 12 units
- C \(\dfrac{5}{12}\) unit
- D \(\dfrac{12}{5}\) units
Answer & Solution
Correct Answer
(D) \(\dfrac{12}{5}\) units
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 \(a = 3\) and \(b = 4\), the equation of the line \(L\) is \(\dfrac{x}{3} + \dfrac{y}{4} = 1\). Multiplying by 12, we get \(4x + 3y = 12\), or…
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