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The line joining (5, 0) to ( (10 cos θ, 10 sin θ) is divided internally in the ratio 2 : 3 at P. If θ varies, then the locus of P is
  • a)
    a pair of straight lines
  • b)
    a circle
  • c)
    a straight line
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The line joining (5, 0) to ( (10 cos θ, 10 sin θ) is divid...
Let P(x, y) be the point dividing the join of A and B in the ratio 2 : 3 internally, then

Squaring and adding (i) and (ii), we get the required locus ( x - 3)2 + y2 = 16, which is a circle.
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The line joining (5, 0) to ( (10 cos θ, 10 sin θ) is divided internally in the ratio 2 : 3 at P. If θ varies, then the locus of P isa)a pair of straight linesb)a circlec)a straight lined)None of theseCorrect answer is option 'B'. Can you explain this answer?
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