Home
Class 11
MATHS
A tangent having slope of -4/3 to the ...

A tangent having slope of `-4/3` to the ellipse `(x^2)/(18)+(y^2)/(32)=1` intersects the major and minor axes at points `A` and `B ,` respectively. If `C` is the center of the ellipse, then find area of triangle `A B Cdot`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Normal to the ellipse (x^2)/(64)+(y^2)/(49)=1 intersects the major and minor axes at Pa n dQ , respectively. Find the locus of the point dividing segment P Q in the ratio 2:1.

Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

Taking major and minor axes as x and y -axes respectively, find the equation of the ellipse whose lengths of minor axis and latus rectum are 4 and 2 .

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse which passes through the point (1,3) and (2,1) .

Taking major and minor axes as x and y -axes respectively, find the equation of the ellipse whose lengths of major and minor axes are 6 and 5 respectively .

If any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 intercepts equal lengths l on the axes, then find l .

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is (1)/(sqrt(2)) and length of latus rectum 3 .

P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with A A ' as the major axis. Find the maximum area of triangle A P A '

Taking major and minor axes as x and y-axes respectively , find the eqation of the ellipse Whose eccentricity is (3)/(5) and coordinates of foci are (pm 3, 0 )

Find the slope of normal to the ellipse , (x^(2))/(a^(2))+(y^(2))/(b^(2))=2 at the point (a,b).

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the tangent at any point of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 m...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If the tangent to the ellipse x^2+2y^2=1 at point P(1/(sqrt(2)),1/2) m...

    Text Solution

    |

  5. Chords of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 are drawn through the...

    Text Solution

    |

  6. Find the locus of the middle points of all chords of (x^2)/4+(y^2)/...

    Text Solution

    |

  7. Tangents P Qa n dP R are drawn at the extremities of the chord of th...

    Text Solution

    |

  8. If the chords of contact of tangents from two poinst (x1, y1) and ...

    Text Solution

    |

  9. From the point A(4,3), tangent are drawn to the ellipse (x^2)/(16)...

    Text Solution

    |

  10. An ellipse is drawn with major and minor axis of length 10 and 8 resp...

    Text Solution

    |

  11. Find the foci of the ellipse 25(x+1)^2+9(y+2)^2=225.

    Text Solution

    |

  12. Find the equation of an ellipse whose axes are the x-and y-axis and...

    Text Solution

    |

  13. If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

    Text Solution

    |

  14. An arc of a bridge is semi-elliptical with the major axis horizonta...

    Text Solution

    |

  15. An ellipse has O B as the semi-minor axis, F and F ' as its foci, ...

    Text Solution

    |

  16. P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with A A ' ...

    Text Solution

    |

  17. Prove that the curve represented by x=3(cost+sint),y=4(cost-sint),t in...

    Text Solution

    |

  18. Find the center, foci, the length of the axes, and the eccentricity...

    Text Solution

    |

  19. If C is the center and A ,B are two points on the conic 4x^2+9y^...

    Text Solution

    |

  20. Find the equation of a chord of the ellipse (x^2)/(25)+(y^2)/(16)=1 jo...

    Text Solution

    |