JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let \(A (1,4)\) and \(B (1,-5)\) be two points. Let \(P\) be a point on the circle \((x-1)^{2}+(y-1)^{2}=1\) such that \(( PA )^{2}+( PB )^{2}\) have maximum value, then the points \(P , A\) and \(B\) lie on ...... .
- A a straight line
- B a hyperbola
- C an ellipse
- D a parabola
Answer & Solution
Correct Answer
(A) a straight line
Step-by-step Solution
Detailed explanation
\(P\) be a point on \(( x -1)^{2}+( y -1)^{2}=1\) so \(P (1+\cos \theta, 1+\sin \theta)\) \(\begin{array}{ll} A (1,4) & B (1,-5)\end{array}\) \(( PA )^{2}+( PB )^{2}\) \(=(\cos \theta)^{2}+(\sin \theta-3)^{2}+(\operatorname{cso} \theta)^{2}+(\sin \theta+6)^{2}\)…
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