A) \[a+b=10\]
B) \[a+b=6\]
C) \[|b-a|\,=\,14\]
D) \[|a\pm b|\,=\,2009\]
Correct Answer: A
Solution :
The equation of the ellipse can be written as \[\frac{{{(x-2)}^{2}}}{4}+\frac{{{(y+3)}^{2}}}{3}=1,\] whose centre is (2, -3) and vertices are \[A(4,\,\,-3)\] and \[A'(0,\,-3)\] foci are \[S(3,-3)\] and \[S'(1,-3)\]. \[\left( \because \,\,e=\frac{1}{2} \right)\] a = Distance between P(7, -3) and S (3, -3) = 4 and b = distance between P(7, - 3) and S? (1, -3) = 6 \[\therefore \] \[a+b=4+6=10\]You need to login to perform this action.
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