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MHT CET202015 Oct 2020Evening ShiftMathematicsEllipseActual

If CP and CD is a pair of semi-conjugate diameters of the ellipse x ² a ² + y ² ~b ² =1 , then CP ²+ CD ²=

Options

  1. Aa²+b² 2
  2. Ba²+b²
  3. Ca²-b²
  4. Da²-b² 2

Correct answer

B. a²+b²

Step-by-step solution

The coordinates of P and D are (a , b ) and (a ( 2 + ), b ( 2 + ) ) respectively. C P²+C D²=a² ² +b² ² +a² ² +b² ² C P²+C D²=a²+b²

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