AP EAMCET · Maths · Pair of Lines
Find the value(s) of \(k\) such that the distance between the two parallel lines represented by \((x-2 y)^2+k(x-2 y)=0\) is 3 units
- A 0
- B \(\pm 3 \sqrt{5}\)
- C \(\pm 5\)
- D \(\pm 3\)
Answer & Solution
Correct Answer
(B) \(\pm 3 \sqrt{5}\)
Step-by-step Solution
Detailed explanation
Given equation, \[ \begin{aligned} (x-2 y)^2+k(x-2 y) & =0 \\ \Rightarrow \quad(x-2 y)(x-2 y+k) & =0 \\ (x-2 y)=0 \text { or } x-2 y+k & =0 \end{aligned} \] Distance between these parallel lines is…
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