Home
Class 12
MATHS
Tangents PT1, and PT2, are drawn from a ...

Tangents `PT_1, and PT_2`, are drawn from a point P to the circle `x^2 +y^2=a^2`. If the point P lies on the line `Px +qy + r = 0`, then the locus of the centre of circumcircle of the triangle `PT_1T_2` is

A

`px+qy=r//2`

B

`2px+2py+r=0`

C

`px+qy=r`

D

`(x-p)^(2)+(y-q)^(2)=r^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

A pair of tangents are drawn from a point P to the circle x^2+y^2=1 . If the tangents make an intercept of 2 on the line x=1 then the locus of P is

If the tangent from a point p to the circle x^2+y^2=1 is perpendicular to the tangent from p to the circle x^2 +y^2 = 3 , then the locus of p is

Tangents PA and PB are drawn to the circle x^2+y^2=4 ,then locus of the point P if PAB is an equilateral triangle ,is equal to

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

Tangents drawn from the point P(1,8) to the circle x^2 +y^2 -6x -4y-11=0 touch the circle at the points A&B ifR is the radius of circum circle of triangle PAB then [R]-

P is a variable point of the line L = 0. Tangents are drawn to the circle x^2 + y^2 = 4 from P to touch it at Q and R. The parallelogram PQSR is completed. If L = 2x + y - 6 = 0 , then the locus of circumcetre of trianglePQR is -

Tangents are drawn to a unit circle with centre at the origin from each point on the line 2x + y = 4 . Then the equation to the locus of the middle point of the chord of contact is

The tangents PA and PB are drawn from any point P of the circle x^(2)+y^(2)=2a^(2) to the circle x^(2)+y^(2)=a^(2) . The chord of contact AB on extending meets again the first circle at the points A' and B'. The locus of the point of intersection of tangents at A' and B' may be given as

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 :

If tangents P Qa n dP R are drawn from a variable point P to thehyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(a > b), so that the fourth vertex S of parallelogram P Q S R lies on the circumcircle of triangle P Q R , then the locus of P is x^2+y^2=b^2 (b) x^2+y^2=a^2 x^2+y^2=a^2-b^2 (d) none of these

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. The Cartesian equation of the plane vecr=(1+lambda-mu)hati+(2-lambda...

    Text Solution

    |

  2. if y = mx is a chord of a circle of radius a and the diameter of the c...

    Text Solution

    |

  3. 18. The straight lines joining the origin to the points of intersectio...

    Text Solution

    |

  4. The locus of the point of intersection of the tangents to the circle x...

    Text Solution

    |

  5. If the chrod of contact of tangents from a point (x(1),y(1)) to the ci...

    Text Solution

    |

  6. The circle S(1) with centre C(1) ( a(1), b(1)) and radius r(1) touche...

    Text Solution

    |

  7. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  8. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

    Text Solution

    |

  9. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

    Text Solution

    |

  10. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

    Text Solution

    |

  11. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

    Text Solution

    |

  12. If in a DeltaABC (whose circumcentre is at the origin), a leq sinA ,...

    Text Solution

    |

  13. If P is a point such that the ratio of the squares of the lengths of t...

    Text Solution

    |

  14. If C(1),C(2),C(3),... is a sequence of circles such that C(n+1) is the...

    Text Solution

    |

  15. If r1a n dr2 are the radii of the smallest and the largest circles, re...

    Text Solution

    |

  16. The radical centre of three circles described on the three sides x+y=5...

    Text Solution

    |

  17. If theta is the angle between the two radii (one to each circle) drawn...

    Text Solution

    |

  18. The number of rational point(s) [a point (a, b) is called rational, if...

    Text Solution

    |

  19. The point ( [ P + 1 ] , [ P ] ) (where [.] denotes the greatest in...

    Text Solution

    |

  20. The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+c(1)=0" and "bx^(2)+by^(2)+2g(...

    Text Solution

    |