Home
Class 12
MATHS
Point 'O' is the centre of the ellipse w...

Point 'O' is the centre of the ellipse with major axis AB & minor axis CD. Point F is one focus of the ellipse. If OF = 6 & the diameter of the inscribed circle of triangle OCF is 2, then find the product `(AB).(CD)`

A

52

B

56

C

78

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

point 'O' is the centre of the ellipse with major axis AB & miror axis CD. Point F is one focus of the ellipse. If OF=6 & the diameter of the inscrided circle of triangle OCF is 2, then the products (AB) (CD) is

An ellipse with major axis 4 and minor axis 2 touches both the coordinate axes,then locus of its focus is

F is one of the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with O as centre. bar(AB) and bar(CD) are major and minor axes respectively. If OF=6 and the diameter of the incircle of triangle OCF is 2. The values of a & b are

Consider an ellipse E,(x^(2))/(a^(2))+(y^(2))/(b^(2))=1, centered at point O andhaving AB and CD as its major and minor axes,respectively.If S_(1) is one of the focus of the ellipse,the radius of the incircle of triangle OCS_(1) is unit,and OS_(1)=6 units, then the value of (a-b)/(2) is

The relationship between, the semi-major axis, seimi-minor axis and the distance of the focus from the centre of the ellipse is

AB and CD are diameters of a circle with centre O.If /_OBD=50^(@) then find /_AOC

Find the equation of the ellipse with centre at the origin, the length of the major axis 12 and one focus at (4, 0).

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lie on it

Consider an ellipse E: x^(2)/a^(2)+y^(2)/b^(2)=1 , centered at point 'O' and having AB and CD as its major and minor axes respectively if S_1 be one of the focus of the ellipse, radius of the incircle of DeltaOCS_1 be 1 unit and OS_1=6 units. Q. if the ellipse (E) is ∆sq unit, then the value of 4 Delta is

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Point 'O' is the centre of the ellipse with major axis AB & minor ...

    Text Solution

    |

  2. The muinimum area of the triangle formed by the tangent to (x^(2))/(a...

    Text Solution

    |

  3. Find the equation of the common tangent in the 1st quadrant to the cir...

    Text Solution

    |

  4. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

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

    Text Solution

    |

  6. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

    Text Solution

    |

  7. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  8. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  9. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

  10. a triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  11. The conic having parametric representation x=sqrt3((1-t^(2)/(1+t^(2)))...

    Text Solution

    |

  12. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  15. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

    Text Solution

    |

  16. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

  17. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  18. Statement 1: An equation of a common tangent to the parabola y^2=16...

    Text Solution

    |

  19. An ellipse is drawn by taking a diameter of the circle (x""""1)^2+""y^...

    Text Solution

    |

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

    Text Solution

    |

  21. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |