Home
Class 12
MATHS
If a tangent to the circle x^(2)+y^(2)=1...

If a tangent to the circle `x^(2)+y^(2)=1` intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :

A

`x^(2)+y^(2)-4x^(2)y^(2)=0`

B

`x^(2)+y^(2)-2xy=0`

C

`x^(2)+y^(2)-16x^(2)y^(2)=0`

D

`x^(2)+y^(2)-2x^(2)y^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct point P and Q. then the locus of the mid- point of PQ is

If the tangent drawn to the hyperbola 4y^2=x^2+1 intersect the co-ordinate axes at the distinct points A and B, then the locus of the mid-point of AB is:

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at Aa n dB . Then find the locus of the midpoint of A Bdot

if a variable tangent of the circle x^(2)+y^(2)=1 intersects the ellipse x^(2)+2y^(2)=4 at P and Q. then the locus of the points of intersection of the tangents at P and Q is

A variable tangent to the circle x^(2)+y^(2)=1 intersects the ellipse (x^(2))/(4)+(y^(2))/(2)=1 at point P and Q. The lous of the point of the intersection of tangents to the ellipse at P and Q is another ellipse. Then find its eccentricity.

If any tangent to the parabola x^(2)=4y intersects the hyperbola xy=2 at two points P and Q , then the mid point of the line segment PQ lies on a parabola with axs along

If any tangent to the parabola x^(2) = 4y intersects the hyperbola xy = 2 at two points P and Q, then the mid point of line segment PQ lies on a parabola with axis along:

tangent drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at point 'P' meets the coordinate axes at points A and B respectively.Locus of mid-point of segment AB is

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q.If O is the origin and the rectangle OPRQ is completed then the locus of R is

DISHA PUBLICATION-JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))-MCQs
  1. The solution of the differential equation x(dy)/(dx) + 2y = x^...

    Text Solution

    |

  2. For any two statements p and q, the negation of the expression p vee (...

    Text Solution

    |

  3. All the points in the set S={(alpha+i)/(alpha-i):alpha in R } (i= sqrt...

    Text Solution

    |

  4. If the fourth term in the binomial expansin of ((2)/(x) + x^(log(6) x)...

    Text Solution

    |

  5. If the function f defined on (pi/6,pi/3) by {{:((sqrt2 cos x -1)/(cot ...

    Text Solution

    |

  6. If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)), ...

    Text Solution

    |

  7. A plane passing through the points (0, -1, 0) and (0, 0, 1) and making...

    Text Solution

    |

  8. Let the sum of the first n terms of a non-constant A.P., a(1), a(2), a...

    Text Solution

    |

  9. Let S = { theta in [-2pi,2pi]:2 cos^(2) theta + 3 sin theta = 0}, the...

    Text Solution

    |

  10. If one root of the quadratic equation X^(2)+px+q=0 is 2-sqrt(3) : wher...

    Text Solution

    |

  11. Let f(x) = 15 -|x-10|, x in R. Then, the set of all values of x, at w...

    Text Solution

    |

  12. Let S be the set of all values of x for which the tangent to the curve...

    Text Solution

    |

  13. If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axe...

    Text Solution

    |

  14. Let vecalpha = 3hati + hatj and beta= 2hati - hatj + 3hatk. If vecbeta...

    Text Solution

    |

  15. The area (in sq units) of the region A={(x,y): x^(2) le y le x +2} is

    Text Solution

    |

  16. If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdot...

    Text Solution

    |

  17. Let sum(k=1)^(10)f(a+k)=16(2^(10)-1), where the function f satisfies ...

    Text Solution

    |

  18. A committee of 11 members is to be formed from 8 males and 5 m=females...

    Text Solution

    |

  19. Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0. ...

    Text Solution

    |

  20. One extremity of a focal chord of y^2 = 16x is A(1,4). Then the length...

    Text Solution

    |