Home
Class 11
MATHS
Let PQ and RS be tangents at the extremi...

Let PQ and RS be tangents at the extremities of one diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, than `(2r)/sqrt(PQ cdot RS)` equals_____

Text Solution

Verified by Experts

1
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

Let P Q and R S be tangent at the extremities of the diameter P R of a circle of radius r . If P S and R Q intersect at a point X on the circumference of the circle, then prove that 2r=sqrt(P Q xx R S) .

Construct a circle of radius 2.4 cm . Also draw a tangent at any point on the circumference of that circle.

PQ is a chord of length 8cm of a circle of radius 5cm . The tangents at P and Q intersect at a point T ( See figure). Find the length of TP.

AB is a diameter of the circle with centre at O. R is any point on the circumference of the circle. If /_ ROA = 120^@ , then firnd the volue of /_RBO /

Draw a circle with radius 2.2 and draw a tangent at one side of the diameter .

Draw a circle with radius 2.6 and draw a tangent at one side of the diameter .

The tangents are drawn at the extremities of diameter AB of a circle with centre P. If a tangent to the circle at the point C intersects the other two tangents at Q and R, thenthe measure of the angleQPR is___

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :

Draw a circle with radius 4.2cm and draw a tangent at one side of the diameter .

A point P is given on the circumference of a circle of radius r. The chord QR is parallel to the tangent line at P. Find the maximum area of the triangle PQR.

PATHFINDER-CIRCLE-QUESTION BANK
  1. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

    Text Solution

    |

  2. Radius of a circle cuts the x-axis at two points at distance 4 units f...

    Text Solution

    |

  3. Let PQ and RS be tangents at the extremities of one diameter PR of a c...

    Text Solution

    |

  4. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

    Text Solution

    |

  5. The equation of the circle which touches the axis of y at a distance +...

    Text Solution

    |

  6. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

    Text Solution

    |

  7. Find the intervals of the values of 'a' for which the line y + x = 0 b...

    Text Solution

    |

  8. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

    Text Solution

    |

  9. If y = mx is the equation of a chord of the circle x^2+y^2-2ax=0 with ...

    Text Solution

    |

  10. Find the locus of the mid point of the chord of the circle x^2+y^2=a^2...

    Text Solution

    |

  11. Tangents are drawn to the circle x^2+y^2=4 from P(3,4) to touch it at ...

    Text Solution

    |

  12. Show that the common tangents to the circles x^2+y^2-6x=0 and x^2+y^2+...

    Text Solution

    |

  13. Two straight lines rotate about two fixed points. If they start from t...

    Text Solution

    |

  14. If two curves, whose equations are ax^2+2hxy+by^2+2gx+2fy+c=0 and a'x^...

    Text Solution

    |

  15. Find the equation of the circle of minimum radius which contains the t...

    Text Solution

    |

  16. The number of common tangents to the circles x^2+y^2-4x-6y-12=0 and x^...

    Text Solution

    |

  17. A circle S passes through the point (0, 1) and is orthogonal to the ci...

    Text Solution

    |

  18. Let C be the circle with centre at (1, 1) and radius = 1. If T is the ...

    Text Solution

    |

  19. The circle passing through (1, - 2) and touching the axis of x at (3, ...

    Text Solution

    |

  20. A point P lines on the circle x^2+y^2=169. If Q = (5, 12) and R= (-12,...

    Text Solution

    |