JEE Mains · Maths · STD 11 - 9. straight line
Locus of the image of point \( (2,3)\) in the line \(\left( {2x - 3y + 4} \right) + k\left( {x - 2y + 3} \right) = 0,k \in R\) is a:
- A circle of radius \(\sqrt 3 \)
- B straight line parallel to \(x- \) axis
- C straight line parallel to \(y- \) axis
- D circle of radius \(\;\sqrt 2 \)
Answer & Solution
Correct Answer
(D) circle of radius \(\;\sqrt 2 \)
Step-by-step Solution
Detailed explanation
Let \(M\) be mid-point of \(B B^{\prime}\) and \(A M\) is \(\perp\) bisector of \(B B^{\prime}\) (where \(A\) is the point of intersection of the given lines) \((x-2)(x-1)+(y-2)(y-3)=0\)…
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