AP EAMCET · Maths · Straight Lines
The equation of the line through the point \((2,3)\) such that its \(x\)-intercept is twice its \(y\)-intecept is ......... .
- A \(x+2 y-8=0\)
- B \(4 x+y+2=0\)
- C \(2 x+33 y-46=0\)
- D \(4 x+3 y-11=0\)
Answer & Solution
Correct Answer
(A) \(x+2 y-8=0\)
Step-by-step Solution
Detailed explanation
It is given that line makes \(x\)-intercept twice as compare to \(y\)-intercept, so let the equation of line is \(\frac{x}{2 a}+\frac{y}{a}=1\) ...(i) \(\because\) Line (i) passes through \((2,3)\) so \(\frac{2}{2 a}+\frac{3}{a}=1 \Rightarrow \frac{4}{a}=1 \Rightarrow a=4\)…
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