TS EAMCET · Maths · Straight Lines
Let and for some Let divide the line segment in the ratio internally. The locus of is
- A parabola
- B ellipse
- C circle
- D hyperbola
Answer & Solution
Correct Answer
(C) circle
Step-by-step Solution
Detailed explanation
By using section formula: mx2+nx1m+n,my2+ny1m+n P4cosθ+05,4sinθ+125→h,k ⇒cosθ=5h4, sinθ=5k-124 ⇒cos2θ+sin2θ=1 ⇒5h42+5k-1242=1 ⇒5x2+5y-122=16 (This is the equation of circle)
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