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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

Let P be a point on the line segment joining A(5 , 5 ) and B(5 , 5 ) such that 3 P A=2 P B then the locus of P is:

Options

  1. Ax^2+y^2=13 if | - |= / 2
  2. Bx^2+y^2=19 if | - |= / 3
  3. Cx^2+y^2=1 if | - |=
  4. Dx^2+y^2=25 if | - |= / 6

Correct answer

C. x^2+y^2=1 if | - |=

Step-by-step solution

aligned & Let P(h, k) & A(5 , 5 ) P(h, k) B(5 , 5 ) & h= 15 +10 5 , k= 15 +10 5 aligned h=3 +2 , k=3 +2 Square and add aligned & h^2+k^2=13+12 ( - ) & x^2+y^2=13+12 ( - ) aligned Now, verify.

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