AP EAMCET · Maths · Straight Lines
The distance between pair of parallel lines represented by
\[
x^2+2 x y+y^2-8 a x-8 a y-9 a^2=0
\]
is. units
- A \(5 \sqrt{2}\)
- B \(5 \sqrt{2} a\)
- C \(2 \sqrt{5} a\)
- D \(a\)
Answer & Solution
Correct Answer
(B) \(5 \sqrt{2} a\)
Step-by-step Solution
Detailed explanation
Given, \(\because x^2+2 x y+y^2-8 a x-8 a y-9 a^2=0\) represents a pair of parallel lines. Compare with standard form \[ \begin{aligned} & a x^2+b y^2+2 h x y+2 g x+2 f y+c=0 \\ & a=1, b=1, h=1, g=-4 a, f=-4 a, c=-9 a^2 \end{aligned} \] \(\because\) We know that distance between…
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