If x, {x} and 2[x] represent the segments of a focal chord and length of latus rectum of an ellipse respectively, then length of major axis of ellipse is always greater than

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Solution

The correct option is D 2
Clearly, x, [x] and {x} are in H.P = $[x] = \frac{2 x {x}}{x + {x}}$
$\Rightarrow \frac{b^{2}}{a} = 1 \Rightarrow a (1 - e^{2}) = 1 \Rightarrow 2 a > 2$ [since 0 < e < 1]

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If x, {x} and 2[x] represent the segments of a focal chord and length of latus rectum of an ellipse respectively, then length of major axis of ellipse is always greater than

The correct option is D 2Clearly, x, [x] and {x} are in H.P =[x]=2x{x}x+{x} ⇒b2a=1⇒a(1−e2)=1⇒2a>2 [since 0 < e < 1]

The correct option is D 2
Clearly, x, [x] and {x} are in H.P = $[x] = \frac{2 x {x}}{x + {x}}$
$\Rightarrow \frac{b^{2}}{a} = 1 \Rightarrow a (1 - e^{2}) = 1 \Rightarrow 2 a > 2$ [since 0 < e < 1]