Home
Class 12
MATHS
If (x)/(a)+(y)/(b)=sqrt(2) touches the e...

If `(x)/(a)+(y)/(b)=sqrt(2)` touches the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` then its eccentric angle `theta` is equal to

A

`0^(circ)`

B

`90^(circ)`

C

`45^(circ)`

D

`60^(circ) `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos
  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

Find the area of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

If sqrt(3) b x+a y=2 a b is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then the eccentric angle of the point is

Sum of focal distances of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is :

Find the area of the ellipse (x^(2))/(a^(2))+ (y^(2))/(b^(2))=1 by the method of integration.

If e is the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , (altb) then

The eccentricity of the ellipse (x^(2))/(36)+ (y^(2))/(16)=1 is

The eccentricity to the ellipse (x^(2))/(36)+(y^(2))/(16)=1 is

The line L x+m y+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , if

The condition that y=m x+c is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 is

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The graph represented by the equations x=sin ^(2) t y=2 cos t is

    Text Solution

    |

  2. The centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 is

    Text Solution

    |

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

    Text Solution

    |

  4. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

    Text Solution

    |

  5. If the major axis of an ellipse is 3 times its minor axis its ecentric...

    Text Solution

    |

  6. A circle described with minor axis of an ellipse as a diameter. If the...

    Text Solution

    |

  7. The equation of the ellipse whose one focus is at (4,0) and whose ecce...

    Text Solution

    |

  8. The eccentricity of the ellipse 5 x^(2)+9 y^(2)=1 is

    Text Solution

    |

  9. The curve represents by x=2(cos t+sin t) and y=5(cos t-sin t) is

    Text Solution

    |

  10. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-18 x-20 y-16=0 is

    Text Solution

    |

  11. The eccentricity of the conic 36 x^(2)+144 y^(2)-36 x-96 y-119=0 is

    Text Solution

    |

  12. The sides of the rectangle of greatest area that can be inseribed in t...

    Text Solution

    |

  13. Equation of latus recta of the ellipse 9 x^(2)+4 y^(2)-18 x-8 y-23=0...

    Text Solution

    |

  14. On the ellipse 4 x^(2)+9 y^(2)=1, the point at which the tangent are p...

    Text Solution

    |

  15. Equation of the circle passing through the intersection of ellipses (x...

    Text Solution

    |

  16. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

    Text Solution

    |

  17. The point (4,-3) with respect to the ellipse 4 x^(2)+5 y^(2)=1

    Text Solution

    |

  18. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

    Text Solution

    |

  19. If M(1) and M(2) are the feet of the perpendiculars from the foci S(1)...

    Text Solution

    |

  20. The angle between the pair of tangents drawn from the point (1,2) to t...

    Text Solution

    |