COMEDK · Maths · 10. Straight Lines
3 and 5 are intercepts of a line \(L=0\), then the distance of \(L=0\) from \((3,7)\) is
- A \(\dfrac{21}{\sqrt{34}}\)
- B \(\dfrac{\sqrt{34}}{31}\)
- C \(\sqrt{34}\)
- D \(\sqrt{31}\)
Answer & Solution
Correct Answer
(A) \(\dfrac{21}{\sqrt{34}}\)
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 \(b = 5\), the equation of the line \(L=0\) is \(\dfrac{x}{3} + \dfrac{y}{5} = 1\). Multiplying by 15, we get \(5x + 3y = 15\), or…
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