COMEDK · Maths · 10. Straight Lines
If \(a\) is a parameter then an equation of a family of lines having the sum of the intercepts on axes equal to 7 is
- A \(4 x+3 y=12 a\)
- B \(3 x+4 y=7 a\)
- C \(7 x+a y=a(7-a)\)
- D \(a y=(7-a)(a-x)\)
Answer & Solution
Correct Answer
(D) \(a y=(7-a)(a-x)\)
Step-by-step Solution
Detailed explanation
Since, equation of family of lines is \(\frac{x}{a}+\frac{y}{b}=1 \ldots\) (i) Sum of intercepts \(=a+b=7\) (given) \(\Rightarrow \quad b=7-a\) Substitute \(b=7-a\) in Eq. (i), we get…
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