Home
Class 12
MATHS
l and m are the lengths of the tangents ...

l and m are the lengths of the tangents from the origin and the point `(9, -1)` to the circle `x^(2) + y^(2) + 18x - 2y + 32 = 0` The value of `17(l^(2) + m^(2))` is equal to ________ .

Text Solution

Verified by Experts

5270
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - H ( Multiple True-False Type Questions )|5 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The length of the tangent drawn from the point (2, 3) to the circles 2(x^(2) + y^(2)) – 7x + 9y – 11 = 0 .

The length of the tangent drawn from the point (2,3) to the circle 2(x^(2)+y^(2))-7x+9y-11=0

The length of the longest ray drawn from the point (4,3) to the circle x ^(2) + y ^(2) + 16 x + 18y + 1=0 is equal to

Find the equations of the tangents from the point A(3,2) to the circle x^(2)+y^(2)+4x+6y+8=0 .

The length of tangent from the point (2,-3) to the circle 2x^(2)+2y^(2)=1 is

The length of the tangent from a point on the circle x^(2)+y^(2)+4x6y-12=0 to the circle x^(2)+y^(2)+4x6y+4=0 is

If L_1 and L_2, are the length of the tangent from (0, 5) to the circles x^2 + y^2 + 2x-4=0 and x^2 + y^2-y + 1 = 0 then

AAKASH INSTITUTE-CONIC SECTIONS-SECTION -I ( Subjective Type Questions )
  1. A circle passes through the point (3, 4) and cuts the circle x^2+y^2=c...

    Text Solution

    |

  2. Two circles are inscribed are circumscribed about a square ABCD, lengt...

    Text Solution

    |

  3. The square of the length of the tangent drawn from any point on the ci...

    Text Solution

    |

  4. l and m are the lengths of the tangents from the origin and the point ...

    Text Solution

    |

  5. The least distance between two points P and Q on the circle x^(2) + y^...

    Text Solution

    |

  6. The sum of the square of length of the chord intercepted by the line x...

    Text Solution

    |

  7. The area of the region bounded by the curves {(x,y) : x^(2) + y^(2) le...

    Text Solution

    |

  8. The chord of contact of tangents from 3 points A, B, C to the circle x...

    Text Solution

    |

  9. Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0...

    Text Solution

    |

  10. If the tangent at P to the parabola y^(2) =7x is parallel to 6y -x + 1...

    Text Solution

    |

  11. The equation of the common tangent to the parabolas y^2= 4ax and x^2= ...

    Text Solution

    |

  12. The mirror image of the parabola y^2= 4x in the tangent to the parabol...

    Text Solution

    |

  13. Locus of the point of intersection of the tangents to (x^(2))/((73)^(2...

    Text Solution

    |

  14. Find the equation of the circle passing through the points of intersec...

    Text Solution

    |

  15. Find the equation of the parabola which is symmetric about the y-axis,...

    Text Solution

    |

  16. The point on the curve 2x^(2) + 3y^(2) = 6 which is nearest to the lin...

    Text Solution

    |

  17. The line passing through the extremity A of the major axis and extremi...

    Text Solution

    |

  18. The locus of the point of intersection of tangents drawn at the extrem...

    Text Solution

    |

  19. Let PN be the ordinate of a point P on the hyperbola x^2/(97)^2-y^2...

    Text Solution

    |

  20. Let C be a curve which is the locus of the point of intersection of li...

    Text Solution

    |