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AP EAMCET20228 Jul 2022Evening ShiftMathematicsEllipseActual

The least intercept made by a tangent to the ellipse x^2 64 + y^2 49 =1 with coordinate axes is

Options

  1. A40
  2. B10
  3. C15
  4. D100

Correct answer

C. 15

Step-by-step solution

Given, ellispe : x^2 64 + y^2 49 =1 Here, a^2=64 a=8b^2=49 b=7 When intercept made by tangent on coordinate axes is minimum, then least value of intercept =a+b=15

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