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AP EAMCET · Maths · Straight Lines

The locus of the point whose ratio of distance from the origin to its distance from \((-2,-3)\) is \(5: 7\), is given by.........

  1. A \(24\left(x^2+y^2\right)-100 x-150 y-325=0\)
  2. B \(24\left(x^2+y^2\right)+100 x+150 y-325=0\)
  3. C \(24\left(x^2+y^2\right)-100 x+150 y+325=0\)
  4. D \(2 x^2+2 y^2=325\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(24\left(x^2+y^2\right)-100 x-150 y-325=0\)

Step-by-step Solution

Detailed explanation

Let the point \(P(x, y)\), such that \(O P: A P=5: 7\), where \(O\) is the origin and \(A(-2,-3)\), so…