TS EAMCET · Maths · Three Dimensional Geometry
If \(A(5,-4)\) and \(B(7,6)\) are points in a plane, then the set of all points \(P(x, y)\) in the plane such that \(A P: P B=2: 3\) is
- A a circle
- B a hyperbola
- C an ellipse
- D a parabola
Answer & Solution
Correct Answer
(A) a circle
Step-by-step Solution
Detailed explanation
Given, \(A(5,-4)\) and \(B(7,6)\) are the points in a plane. Now, and \[ \begin{aligned} & A P=\sqrt{(x-5)^2+\left[\left(y-(-4)^2\right]\right.} \\ & P B=\sqrt{(x-7)^2+(y-6)^2} \end{aligned} \] According to the question, \[ A P: P B=2: 3 \]…
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