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 \(\sqrt{31}\)
- B \(\sqrt{34}\)
- C \(\frac{21}{\sqrt{34}}\)
- D \(\frac{\sqrt{34}}{31}\)
Answer & Solution
Correct Answer
(C) \(\frac{21}{\sqrt{34}}\)
Step-by-step Solution
Detailed explanation
If 3 and 5 are intercepts of a line \(L=0\), then \(x\)-intercept \(=a=3\) \(y\)-intercept \(=b=5\) Equation of line is \(\frac{x}{3}+\frac{y}{5}=1 \Rightarrow 5 x+3 y-15=0\) \(\therefore\) Required distance…
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