Home
Class 12
MATHS
The distance of the point 'theta' on the...

The distance of the point `'theta'` on the ellipse `x^(2)/a^(2) + y^(2)/b^(2) = 1` from a focus, is

A

`a (e + cos theta)`

B

`a (e - cos theta)`

C

`a (1 + e cos theta)`

D

`a (1 + 2 e cos theta)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

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

The sum fo the squares of the perpendicular on any tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 from two points on the mirror axis, each at a distance sqrt(a^(2) - b^(2)) from the centre, is

The locus of the foot of the perpendicular from the foci an any tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

The locus of points whose polars with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 are at a distance d from the centre of the ellipse, is

The maximum distance of the centre of the ellipse x^2/(81)+y^2/(25)=1 from a normal to the ellipse is

The line x = at^(2) meets the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 in the real points iff

The distance from the foci of P (a, b) on the ellipse x^2/9+y^2/25=1 are

The locus of the poles of tangents to the director circle of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 is

OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Exercise
  1. If C is the centre of the ellipse 9x^(2) + 16y^(2) = 144 and S is one ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. An ellipse is described by using an ellipse string which is passed ove...

    Text Solution

    |

  6. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

    Text Solution

    |

  7. The distance of the point 'theta' on the ellipse x^(2)/a^(2) + y^(2)/b...

    Text Solution

    |

  8. If y = mx + c is a tangent to the ellipse x^(2) + 2y^(2) = 6, them c^(...

    Text Solution

    |

  9. Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with ...

    Text Solution

    |

  10. The ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and the straight line y=mx+c int...

    Text Solution

    |

  11. Let E be the ellipse (x^2)/9+(y^2)/4=1 and C be the circle x^2+y^2=9 ....

    Text Solution

    |

  12. Equation of the ellipse with accentricity 1/2 and foci at (pm 1, 0), i...

    Text Solution

    |

  13. If B and B' are the ends of minor axis and S and S' are the foci of th...

    Text Solution

    |

  14. The length of the axes of the conic 9x^(2)+4y^(2)-6x+4y+1=0 ,are

    Text Solution

    |

  15. If the normal at any point P on ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)...

    Text Solution

    |

  16. If the curves x^(2) + 4y^(2) = 4, x^(2) + a^(2) y^(2) = a^(2) for suit...

    Text Solution

    |

  17. If P(theta),Q(theta+pi/2) are two points on the ellipse x^2/a^2+y^2/b^...

    Text Solution

    |

  18. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

    Text Solution

    |

  19. If the length of the semi major axis of an ellipse is 68 and the eccen...

    Text Solution

    |

  20. If the tangent at the point (4 cos theta, (16)/(sqrt(11)) sin theta) t...

    Text Solution

    |