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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

`pi//3`

C

`pi//4`

D

`pi//4`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-ELLIPSE-Exercise
  1. Find the foci of the ellipse 25(x+1)^2+9(y+2)^2=225.

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  2. if the coordinates of the centre , a foucs and adjacent vertex ...

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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. A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)...

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  5. The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisec...

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  6. AB is a diameter of x^2 + 9y^2=25. The eccentric angle of A is pi/6 ...

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  7. if one end of a diameter of the ellipse 4x^(2)+y^(2)=16 is (sqrt...

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  8. the equation of a diameter conjugate to a diameter y=(b)/(a)x of ...

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  9. if theta and phi are eccentric angles of the ends of a pair of ...

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  10. If A,A' are the vertices S,S' are the foci and Z,Z' are the fe...

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  11. The eccentricity of an ellipse whose pair of a conjugate diameter are ...

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  12. the locus of the point of intersection of tangents to the ellipse...

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  13. The number of maximum normals that can be drawn from any point to an e...

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  14. the sum of the squares of the perpendiculars on any tangent axi...

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  15. If the polar with respect to y^2 = 4ax touches the ellipse x^2/alpha^2...

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  16. If p and q are the segments of a focal chord of an ellipse b^2x^2+a^2y...

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  17. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

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

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  19. iger P(theta) and Q(pi/2 +theta) are two points on the ellipse x^2/a^2...

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

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