Home
Class 12
MATHS
Locus of the point of intersection of th...

Locus of the point of intersection of the tangents to `(x^(2))/((73)^(2)) + (y^(2))/((14)^(2)) =1` which intersect at right angles is a circle with centre (0, 0) and radius r, then `r^(2)` equals _________ .

Text Solution

Verified by Experts

5525
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 locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

" Locus of the point of intersection of tangents to the ellipse " (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 " which makes an angle " theta " is."

IF the locus of the point of intersection of two perpendicular tangents to a hyperbola (x^(2))/(25) - (y^(2))/(16) =1 is a circle with centre (0, 0), then the radius of a circle is

If the locus of the point of intersection of perpendicular tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is a circle with centre at (0,0) then the radius of the circle would be

Locus of the point of intersection of tangents to the parabolas y^(2)=4(x+1) and y^(2)=8(x+2) which are at right angles,is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , which make complementary angles with x - axis, is

Locus of the point of intersection of perpendicular tangents to the circle x^(2)+y^(2)=10 is

Locus of the point of intersection of perpendicular tangents to the circle x^(2)+y^(2)=16 is

Locus of the point of intersection of perpendicular tangents to the circle x^(2)+y^(2)=16 is

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

    |