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AP EAMCET201920 Apr 2019Morning ShiftMathematicsEllipseActual

If the line joining the points (A( ) ) and (B( ) ) on the ellipse ( x^2 25 + y^2 9 =1 ) is a focal chord, then one possible value of ( 2 2 ) is

Options

  1. A-3
  2. B3
  3. C-9
  4. D9

Correct answer

C. -9

Step-by-step solution

Since equation of chord joining the points (A( ) ) and (B( ) ) on the ellipse ( x^2 25 + y^2 9 =1 ) is ( x 5 + 2 + y 3 + 2 = - 2 ) ...(i) ( ) Chord (i) is the focal chord so, it will pass through focus ((4,0) ) ( aligned & 4 5 + 2 = - 2 & 4 ( 2 2 - 2 2 ) & =5 ( 2 2 + 2 2 ) & 4 ( 2 2 -1 )=5 ( 2 2 +1 ) & 2 2 =-9 aligned ) Hence, option (3) is correct.

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