Home
Class 11
MATHS
Find the slope of a common tangent to th...

Find the slope of a common tangent to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` and a concentric circle of radius `rdot`

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

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

Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (x= 1,y= 1) .

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 .

The slop of the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 at the point (a cos theta, b sin theta) - is

The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( x_(1),y_(1)) is-

Find the slope of the tangent to the curve y= (x-1)/(x-2), x ne 2 at x = 10.

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and the circle x^2+y^2=3 are +-1 (b) +-sqrt(2) (c) +-sqrt(3) (d) none of these

Find the equation of the common tangents to y^2 - 8ax and x^2 + y^2 = 2a^2

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

    Text Solution

    |

  2. If any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 intercepts e...

    Text Solution

    |

  3. Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b...

    Text Solution

    |

  4. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  5. If F1 and F2 are the feet of the perpendiculars from the foci S1a ...

    Text Solution

    |

  6. If the tangent at any point of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 m...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |