Home
Class 10
MATHS
X Yand Xprime Yprimeare two parallel tan...

`X Y`and `Xprime Yprime`are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting `X Y`at A and `XprimeYprime`at B. Prove that `/_A O B\ =\ 90^0`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise SECTION-C|5 Videos

Similar Questions

Explore conceptually related problems

l and m are two parallel tangents to a circle with centre O, touching the circle at A and B respectively. Another tangent at C intersects the line l at D and m at E. Prove that /_DOE=90^@.

Two parallel tangents of a circle meet a third tangent at points P and Q. Prove that PQ subtends a right angle at the centre.

If y=3x is a tangent to a circle with centre (1,1) then the other tangent drawn through (0,0) to the circle is

TA and TB are tangents to a circle with centre O from an external point T. OT intersects the circle at point P. Prove that AP bisects the angle TAB.

Two circle with centres A and B intersect at C and Ddot Prove that /_A C B=/_A D Bdot

In Figure, B C is a tangent to the circle with centre OdotO E bisects A Pdot Prove that A E O ~ A B Cdot

In Figure, P A and P B are tangents to the circle with centre O such that /_A P B=50^@ . Write the measure of /_O A B .

In a circle with centre O , chords A B\ a n d\ C D intersect inside the circumference at E . Prove that /_A O C+\ /_B O D=2\ /_A E C

In Figure, two tangents A Ba n dA C are drawn to a circle with centre O such that /_B A C=120^0dot Prove that O A=2A B

In a figure the common tangents, AB and CD to two circles with centers O and O' intersect at E. Prove that the points O, E and O' are collinear.

X BOARD PREVIOUS YEAR PAPER ENGLISH-X Boards-All Questions
  1. If the ratio of the sum of first n terms of two AP's is (7n+1) : (4n +...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. X Yand Xprime Yprimeare two parallel tangents to a circle with centre...

    Text Solution

    |

  4. An aeroplane flying at a height 300 metre above the ground passes vert...

    Text Solution

    |

  5. If two different dice are rolled together, the probability of getting ...

    Text Solution

    |

  6. Q. For what value of k will k+9, 2k-1 and 2k+7 are the consecutive ter...

    Text Solution

    |

  7. A ladder leaning against a wall makes an angle of 60° with the horizon...

    Text Solution

    |

  8. A card is drawn at random from a well shuffled pack of 52 playing card...

    Text Solution

    |

  9. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

    Text Solution

    |

  10. Let P and Q be the points of trisection of the line segment joining th...

    Text Solution

    |

  11. In Fig.2, a quadrilateral ABCD is drawn to circumscribe a circle, with...

    Text Solution

    |

  12. The fourth term of an A.P is zero. Prove that the 25th term is triple ...

    Text Solution

    |

  13. In the given figure, from an external point P,two tangents PT and PS a...

    Text Solution

    |

  14. In fig. O is the center of a circle such that diameter AB=13cm and AC=...

    Text Solution

    |

  15. If the point P(x, y) is equidistant from the points A(a + b, b-a) and ...

    Text Solution

    |

  16. Find the area of the shaded region in Fig. 12.20, if radii of the t...

    Text Solution

    |

  17. If the ratio of the sum of first n terms of two AP's is (7n+1) : (4n +...

    Text Solution

    |

  18. Solve for x:1/ ((x -1)(x -2))+1/( (x-2)(x-3))=2/ 3', x is not equal t...

    Text Solution

    |

  19. A conical vessel whose internal radius is 5 cm and height 24cm is f...

    Text Solution

    |

  20. A sphere of diameter 12 cm, is dropped in a right circular cylindrical...

    Text Solution

    |