Home
Class 12
MATHS
P is variable point on the line y=4. ta...

P is variable point on the line `y=4`. tangents are drawn to the circle `x^2+y^2=4` from the points touch it at A and B. The parallelogram PAQB be completed.If locus of Q is `(y+a)(x^2+y^2)=by^2` ,the value of `a+b` Is:

Text Solution

Verified by Experts

The correct Answer is:
Hence, locus of Q `(alpha,beta)" is "(x^(2)+y^(2))(y+4)=2y^(2)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

P is variable point on the line y=4. tangents are drawn to the circle x^(2)+y^(2)=4 from the points touch it at A and x^(2)+ The parallelogram PAQB be completed.If locus of Q is (y+a)(x^(2)+y^(2))=by^(2), the value of a+b Is:

P is a variable point on 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 parallelogran PQSR is completed. If p-=(3,4), then the coordinates of S are

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

From a variable point R on the line y = 2x + 3 tangents are drawn to the parabola y^(2)=4ax touch it at P and Q point. Find the locus of the centroid of the triangle PQR.

A line parallel to the line x-3y=2 touches the circle x^(2)+y^(2)-4x+2y-5=0 at the point

Let P be a variable point.From P tangents PQ and PR are drawn to the circle x^(2)+y^(2)=b^(2) if QR always touch the parabola y^(2)=4ax then locus of P is

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. P is variable point on the line y=4. tangents are drawn to the circle...

    Text Solution

    |

  2. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |

  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  4. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  5. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

    Text Solution

    |

  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

    Text Solution

    |

  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  9. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

    Text Solution

    |

  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  11. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |