AP EAMCET · Maths · Pair of Lines
If the equation, \(x^2+2 \sqrt{2} x y+2 y^2+4 x+4 \sqrt{2} y+1=0\) represents a pair of straight lines which are parallel to each other. Find the distance between them is
- A 4 units
- B 2 units
- C \(2 \sqrt{3}\) units (d)
- D \(4 \sqrt{3}\) units
Answer & Solution
Correct Answer
(B) 2 units
Step-by-step Solution
Detailed explanation
Given equation of pair of parallel straight lines \(\begin{aligned} & x^2+2 \sqrt{2} x y+2 y^2+4 x+4 \sqrt{2} y+1=0 \\ & (x+\sqrt{2} y+2+\sqrt{3})(x+\sqrt{2} y+2-\sqrt{3})=0 \end{aligned}\) Now, distance between parallel lines \(x+\sqrt{2} y+2+\sqrt{3}=0\) and…
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