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KVPY2011MathematicsEllipse

The smallest possible positive slope of a line whose y-intercept is 5 and which has a common point with the ellipse 9 x²+16 y²=144 is-

Options

  1. A3 4
  2. B1
  3. C4 3
  4. D9 16

Correct answer

B. 1

Step-by-step solution

ellipse x² 16 + y² 9 =1 Any tangent x 4 + y 3 =1 array c y intercept =5 = 3 5 ; ( 2 , ) =- 4 5 tangent - x 5 + y 5 =1 slope =1 array

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