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If x/a+y/b=sqrt(2) touches the ellipse (...

If `x/a+y/b=sqrt(2)` touches the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` , then find the eccentric angle `theta` of point of contact.

A

`0^(@)`

B

`90^(@)`

C

`45^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA-ELLIPSE-Exercise
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  3. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

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  4. Let P be a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 of ecc...

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  6. the equation of the circle passing through the foci of the ellip...

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  7. the centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 , i...

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  8. In an ellipse, the distances between its foci is 6 and minor axis is 8...

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  9. S and T are foci of an ellipse and B is an end of the minor a...

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  11. if the major axis of an ellipse is three times the length ...

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  13. the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/...

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  14. The co-ordinates of a focus of an ellipse is (4,0) and its eccentricit...

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  17. In an ellipse the distance between the foci is 8 and the distance betw...

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  18. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

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  19. If P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are...

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