All possible values of eccentric angle of x1- y1 on x2-6 - y2-2 - 1 whose distance fromt the centre is 2-

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Eccentric Angle : Hyperbola

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Question

All possible values of eccentric angle of $(x_{1}, y_{1})$ on $\frac{x^{2}}{6} + \frac{y^{2}}{2} = 1$ whose distance fromt the centre is 2.

\pm

45.

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-45

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Solution

The correct option is A $\pm$ 45.
Let the ecentric angle be t, and $a^{2} = 6; b^{2} = 2$
$x_{1} = a c o s t$ $y_{1} = b s i n t$
$(a c o s t)^{2} + (b s i n t)^{2} = 4$
t = $\pm$ 45.

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All possible values of eccentric angle of (x1,y1) on x26+y22=1 whose distance fromt the centre is 2.

The correct option is A ± 45.Let the ecentric angle be t, and a2=6;b2=2 x1=a cos t y1=b sin t (a cos t)2+(b sin t)2=4 t = ± 45.

All possible values of eccentric angle of $(x_{1}, y_{1})$ on $\frac{x^{2}}{6} + \frac{y^{2}}{2} = 1$ whose distance fromt the centre is 2.

The correct option is A $\pm$ 45.
Let the ecentric angle be t, and $a^{2} = 6; b^{2} = 2$
$x_{1} = a c o s t$ $y_{1} = b s i n t$
$(a c o s t)^{2} + (b s i n t)^{2} = 4$
t = $\pm$ 45.