Home
Class 12
MATHS
Two tangents drawn from P(7,1) to the c...

Two tangents drawn from `P(7,1)` to the circle `x^(2)+y^(2)=25` touches the circle at `Q` and `R`. The area of the quadrilateral `P Q O R` is

A

25 sq. units

B

30 sq. units

C

20 sq. units

D

10 sq. units

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

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 and B. The equation of the circumcircle of the triangle PAB is:

Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at P (- 4, 0). Then the area of the quadrilateral PAOB, O being the origin, is :

If the chord of contact of tangents from a point P (x_1,y_1) to the circle x^2+y^2=a^2 touches the circle (x-a)^2+y^2 = a^2 , then the locus of (x_1, y_1) is :

The chord of contact of tangents drawn from any point on the circle x^2+y^2=a^2 to the circle x^2 + y^2 = b^2 touches the circle x^2 + y^2 =c^2 . Then a, b, c are in:

Angle between tangents drawn from a point on the director circle x^(2)+y^(2)=100 to the circle x^(2)+y^(2)=50 is

If the length of the tangent drawn from (f, g) to the circle x^2+y^2= 6 be twice the length of the tangent drawn from the same point to the circle x^2 + y^2 + 3 (x + y) = 0 then show that g^2 +f^2 + 4g + 4f+ 2 = 0 .

If the chord of contact of tangents drawn from the (h, k) to the circle x^2+y^2=a^2 subtends a right at the centre, then:

The number of tangents, which can be drawn from the point (1, 2) to the circle x^2 + y^2 = 5 is :

A tangent to the circle x^2 + y^2 = 1 through the point (0, 5) cuts the centre x^2 + y^2 = 4 at P and Q. The tangents to the circle x^2 + y^2 = 4 at P and Q meet at R. Then the co-ordinates of R are :

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. From any point on the circle x^(2)+y^(2)=a^(2), tangtnts are drawn to...

    Text Solution

    |

  2. Angle between tangents drawn from a point on the director circle x^(2...

    Text Solution

    |

  3. Two tangents drawn from P(7,1) to the circle x^(2)+y^(2)=25 touches t...

    Text Solution

    |

  4. The ltngth of the tangtnt from (5,3) to the circle x^(2)+y^(2)+10 x+k...

    Text Solution

    |

  5. The equation of the tangtnt to the circle x^(2)+y^(2)-2 x+8 y-23=0 ha...

    Text Solution

    |

  6. The equation of the circle in the first quadrant touching each co-ordi...

    Text Solution

    |

  7. The equation of the circle having centre (1, 2) and passing through th...

    Text Solution

    |

  8. The area of the circle centred at (1, 2) and passing through (4,6) is ...

    Text Solution

    |

  9. Equation of a circle which passes through (3, 6) and touches the axes ...

    Text Solution

    |

  10. Equation of the circle with centre on the y-axis and pussing through t...

    Text Solution

    |

  11. The equation of a circle with origin as centre and passing through the...

    Text Solution

    |

  12. The equation of the circle described on the line joining the points (-...

    Text Solution

    |

  13. The equation of the circle which touches both the axes and the line 4...

    Text Solution

    |

  14. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

  15. The locus of the centre of a circle which touches externally two given...

    Text Solution

    |

  16. Given that the circleS x^(2)+y^(2)-2 x+6 y+6=0 and x^(2)+y^(2)-5 x+6 ...

    Text Solution

    |

  17. The locus of the centre of the circle which cuts the circles x^(2)...

    Text Solution

    |

  18. Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy...

    Text Solution

    |

  19. The radius of the circle 16 x^(2)+16 y^(2)-8 x+32 y-256=0 is

    Text Solution

    |

  20. The length of the intercept that a circle x^(2)+y^(2)+10 x-6 y+9=0 ma...

    Text Solution

    |