Home
Class 12
MATHS
The locus of a point which moves such th...

The locus of a point which moves such that the difference of its distances from two fixed points is always of its distances from two fixed points is always a constant is

A

a circle

B

a straight line

C

a hyperbola

D

an ellipse

Text Solution

Verified by Experts

The correct Answer is:
C
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 a point which moves such that the sum of its distances from two fixed points is a constant is

The locus of the point which moves such that the ratio of its distance from two fixed point in the plane is always a constant K(lt 1) is

The locus of the point which moves such that sum of its distance from (2,-3) and (2,5) is always 10 is

What is the equation of the locus of a point which moves such that 4 times its distance from the x axis is the square of its distance from the origin?

A point moves such that its distance from the point (4,0) is half that of its distance from the line x=16 . The locus of the point is

Locus of a point which moves such that its distance from the X-axis is twice its distance from the line x-y=0 is

An ellipse is the set of all points in a plane the sun of whose distance from two fixed points in the plane is a constant ?

The locus of the point whose distance from x -axis is twice its distance from y -axis is

A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the differences of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Find the distances from the gates where the pole is to be erected.

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2003-MATHEMATICS
  1. lim(x rarr 0) (1-ax)^(1/x) =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The equation of the line bisecting perpendicularly the segment joining...

    Text Solution

    |

  11. If the slope of one of the lines gives by ax^(2)+2hxy+by^(2)=0 is 5 ti...

    Text Solution

    |

  12. The locus of a point which is equidistant from ( a+ b , a-b) and (a-b,...

    Text Solution

    |

  13. Prove that int(0)^(a) f(x) dx = int(0)^(a) f(a - x)dx and hence evalua...

    Text Solution

    |

  14. int(0)^(2pi)(sinx+|sinx|)dx=

    Text Solution

    |

  15. If n in N and I(n) = int (log x)^(n) dx , then I(n) + n I(n - 1) =

    Text Solution

    |

  16. The area included between the parabolas x^(2)=4y and y^(2)=4x is, (in ...

    Text Solution

    |

  17. The differential equation for which sin^(-1)x+sin^(-1)y=C is given by

    Text Solution

    |

  18. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  19. If x=a(theta-sintheta),y=a(1-costheta) then (dy)/(dx)=

    Text Solution

    |

  20. If y=1-x+(x^(2))/(2!)-(x^(3))/(3!)+(x^(4))/(4!)- . . . . then (d^(2)y)...

    Text Solution

    |