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MHT CET202211 Aug 2022Morning ShiftMathematicsCircleActual

Given two circles x^2+y^2+8 x-6 y-24=0 and x^2+y^2-4 x+10 y+20=0 . Then they are

Options

  1. ADisjoint.
  2. BConcentric,
  3. CTouching internally
  4. DTouching externally.

Correct answer

D. Touching externally.

Step-by-step solution

aligned & x^2+y^2+8 x-6 y-24=0, C₁ (-4,3), r₁=7 & x^2+y^2-4 x+10 y+20=0, C₂ (2,-5), r₂=3 & C₁ C₂= (2+4)^2+(-5-3)^2 =10 and r₁+r₂=7+3=10 aligned C₁ C₂=r₁+r₂ hence, the tow circles touching externally

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