Home
Class 11
MATHS
Find the equation of the common tangent ...

Find the equation of the common tangent in the first quadrant of the circle `x^2+y^2=16` and the ellipse `x^2/25+y^2/4=1`.Also find the length of the intercept of the tangent between the coordinates axes.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the common tangent of y^2=4a x and x^2=4a y .

Find the equations of the common tangents to the circle x^2+y^2 = 8 and the parabola y^2 = 16x.

Find the equations to the common tangents of the circles x^2+y^2-2x-6y+9=0 and x^2+y^2+6x-2y+1=0

Find the equation of the two tangents from the point (0, 1 ) to the circle x^2 + y^2-2x + 4y = 0

Find the equation of the common tangent to the parobolas y^(2) = 4ax and x^(2) = 4ay.

Find 'all equation to the four common tangents to the circles x^2 + y^2= 25 and (x-12)^2+y^2=9

Find the area enclosed between first quadrant of a circle x^2 + y^2 = 16 and line y=x.

Find the equations of the tangents to the circle x^(2) + y^(2)=16 drawn from the point (1,4).

If tangents are drawn to the ellipse 2x^(2) + 3y^(2) =6 , then the locus of the mid-point of the intercept made by the tangents between the co-ordinate axes is

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. S1, S2, are foci of an ellipse of major axis of length 10 units and P ...

    Text Solution

    |

  2. Let L L ' be the latus rectum through the focus of the hyperbola (x^2)...

    Text Solution

    |

  3. Find the equation of the common tangent in the first quadrant of the c...

    Text Solution

    |

  4. If the normal at P(theta) on the hyperbola (x^2)/(a^2)-(y^2)/(2a^2)=1 ...

    Text Solution

    |

  5. The eccentricity of the hyperbola whose length of the latus rectum is ...

    Text Solution

    |

  6. Prove that in an ellipse, the perpendicular from a focus upon any tang...

    Text Solution

    |

  7. Find the asymptotes of the curve xy-3y-2x=0.

    Text Solution

    |

  8. With one focus of the hyperbola x^2/9-y^2/16=1 as the centre, a circle...

    Text Solution

    |

  9. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

    Text Solution

    |

  10. Two circles are given such that they neither intersect nor touch. Then...

    Text Solution

    |

  11. lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 ...

    Text Solution

    |

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

    Text Solution

    |

  13. If A ,B ,a n dC are three points on the hyperbola x y=c^2 such that A ...

    Text Solution

    |

  14. Statement 1 : If (3, 4) is a point on a hyperbola having foci (3, 0...

    Text Solution

    |

  15. Find the co-ordinates of all the points P on the ellipse, x^2/a^2+y^2/...

    Text Solution

    |

  16. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

    Text Solution

    |

  17. Statement 1 : If from any point P(x1, y1) on the hyperbola (x^2)/(a^2)...

    Text Solution

    |

  18. Consider the family ol circles x^2+y^2=r^2, 2 < r < 5 . If in the fir...

    Text Solution

    |

  19. Prove that the locus of the point of intersection of the tangents at t...

    Text Solution

    |

  20. If a point (x1,y1) lies in the shaded region (x^2)/(a^2)-(y^2)/(b^2)=1...

    Text Solution

    |