AP EAMCET · Maths · Straight Lines
If the equation \(8 x^2+8 x y+2 y^2+26 x\) \(+13 y+15=0\) represents a pair of parallel straight lines, then the distance
between them is.........
- A \(\frac{7}{\sqrt{5}}\)
- B \(\frac{7}{2 \sqrt{5}}\)
- C \(\frac{2}{\sqrt{5}}\)
- D \(\frac{7}{\sqrt{3}}\)
Answer & Solution
Correct Answer
(B) \(\frac{7}{2 \sqrt{5}}\)
Step-by-step Solution
Detailed explanation
Given equation is \(8 x^2+8 x y+2 y^2+26 x+13 y+15=0\) ...(i) On writing Eq. (i) as quadratic equation in \(x\), we get \(8 x^2+2 x(4 y+13)+2 y^2+13 y+15=0\) \(x=\frac{-2(4 y+13) \pm \sqrt{4(4 y+13)^2-32\left(2 y^2+13 y+15\right.}}{16}\)…
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