Home
Class 12
MATHS
The locus of the point of intersection o...

The locus of the point of intersection of the perpendicular tangents to the ellipse `(x^(2))/(9)+(y^(2))/(4)=1` is

A

`x^(2)+y^(2)=4`

B

`x^(2)+y^(2)=9`

C

`x^(2)+y^(2)=5`

D

`x^(2)+y^(2)=13`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2002

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS (MCQ.s)|50 Videos
  • KARNATAKA CET 2005

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of perpendicular tangents to the ellipse is called

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 is

The locus of the point of intersection of two perpendicular tangents to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , lies on

The point of intersection of two perpendicular tangents to (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 lies on the circle

The locus of the middle point of the portion of a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axes is the curve

Area of the ellipse x^(2)/9+y^(2)/4=1 is

The equation of the locus of the middle point of the portion of the tangent to ellipse (x^(2))/(16)+(y^(2))/(9)=1 intercepted between the axes is

The area of the rectangle formed by the perpendiculars from the centre of the ellipse (x^(2))/(9)+(y^(2))/(4)=1 to the tangent and normal at the point whose eccentric angle is (pi)/(4) , is :

Find the eccentricity of the ellipse (x^2)/(9)+(y^2)/(4)=1

The number of tangents from (4,7) to the ellipse (x^(2))/(16)+(y^(2))/(25)=1 is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2003-MATHEMATICS
  1. Which of the following is a point on the common chord of the circle x^...

    Text Solution

    |

  2. The directrix of the parabola x^(2)-4x-8y+12=0

    Text Solution

    |

  3. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  4. Inverse of the matrix of ((1,2),(3,4)) is

    Text Solution

    |

  5. |(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)+b^(2),ab,a+b)|=

    Text Solution

    |

  6. If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4ha...

    Text Solution

    |

  7. The angle between the vectors veca+vecb and veca-vecb when veca=(1,1,4...

    Text Solution

    |

  8. If |vecaxxvecb|=4 and |veca*vecb|=2 then |veca|^(2)|vecb|^(2)=

    Text Solution

    |

  9. In a DeltaABCV if (b+c)/(11)=(c+a)/(12)=(a+b)/(13) then cos C=

    Text Solution

    |

  10. cos1^(0)+cos2^(0)+cos3^(0)+ . . .+cos180^(0) =

    Text Solution

    |

  11. The value of (tan70^(0)-tan20^(0))/(tan50^(0))=

    Text Solution

    |

  12. lim(x rarr 0) (1-ax)^(1/x) =

    Text Solution

    |

  13. Lim(nto oo)(3^(n)+4^(n))^((1)/(n))=

    Text Solution

    |

  14. The locus of a point which moves such that the difference of its dista...

    Text Solution

    |

  15. The distance between the directrices of the hyperbola x=8sectheta,y=8t...

    Text Solution

    |

  16. If cos^(-1)x+cosy^(-1)+cos^(-1)x=3pi then xy+yz+zx=

    Text Solution

    |

  17. sin((1)/(2)"cos"^(-1)(4)/(5))=

    Text Solution

    |

  18. The general solution of the equation tan2thetatantheta=1 for n in Z i...

    Text Solution

    |

  19. The angle between the lines in x^(2)-xy-6y^(2)-7x+31y-18=0 is

    Text Solution

    |

  20. If p is the length of the perpendicular from the origin on the line wh...

    Text Solution

    |