Home
Class 10
MATHS
In the figure, ray PT touches the circle...

In the figure, ray PT touches the circle at point T and line PAB is secent intersecting the circle at points A and B, then

A

`PT=PAxxPB`

B

`PT^(2)=sqrt(PAxxAB)`

C

`PT^(2)=PAxxPB`

D

`PT^(2)=PA^(2)xxPB^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.1|9 Videos
  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.2|8 Videos
  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNMENT 4.5|8 Videos
  • CHALLENGING QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION 3 (MODEL QUESTION PAPER FOR PRACTICE ) Solve any one of the following subquestions :|1 Videos
  • COORDINATE GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 6.5|13 Videos

Similar Questions

Explore conceptually related problems

In the figure, a tangent segment PA touches the circle at point A and secant PBC intersects the circle at points B and C. If AP=15 cm and BP=10, then find BC.

In the figure, ray PQ touches the circle at point Q. If PQ =12, PR = 8, then find PS.

Tangent Secant Theorem Point E is in the exterior of a circle. A secant through E intersects the circle at points A and B, and a tangent through E touches the circle at point T, then EA xx EB = ET^(2) . Given : (1) A circle with centre O (2) Tangent ET touches the circle at pointT (3) Secant EAB intersects the circle at points A and B . To prove : EA xx EB = ET^(2)

In the figure, point P is the centre of the circle and line AB is the tangent to the circle at the point T. The radius of the circle is 6 cm . Find PB, if /_ TPB = 60^(@)

In the figure, two circles with centers O and P intersect each other at points D and C. Line AB intersects the circle with centre O at points A and B and touches the circle with centre P at point E. Prove /_ADE+/_BCE=180^(@) .

In the figure, circles with centres X and Y touch each other at point Z. A secant passing through Z intersects the circles at points A and B respectively. Prove that, raduis XA || radius YB. Fill in the blanks and complete the proof:

In the figure, line PR touches the circle at point Q. Answer the following questions with the help of the figure: What is the sum of /_TAQ " and " /_TSQ ?

In figure, two circles intersect each other at points A and E. Their common secant through E intersects the circles at points B and D. The tangents of the circles at points B and D intersect each other at point C. Prove that square ABCD is cyclic.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-CIRCLE-EXAMPLES FOR PRACTICE
  1. In the figure, /QPR has its vertex outside the circle such that m(arc ...

    Text Solution

    |

  2. In the figure, chord AB and chord CD intersect at point M inside the c...

    Text Solution

    |

  3. In the figure, ray PT touches the circle at point T and line PAB is se...

    Text Solution

    |

  4. Find the length of tangent segment drawn to a circle with radius 5 cm ...

    Text Solution

    |

  5. In the figure, line RS is tangent at point Q. If /PQS=65^(@) find m(ar...

    Text Solution

    |

  6. In the figure, line TA is tangent at point T, /PAT=30^(@) and PA=7.8...

    Text Solution

    |

  7. Two circles of radius 5 cm and 4 cm touch each other. Find the distanc...

    Text Solution

    |

  8. In the figure, two concentric circles are given and line AB is tangent...

    Text Solution

    |

  9. In the figure, seg AB is the diameter of the circle, /ABC=30^(@), Find...

    Text Solution

    |

  10. In the figure, a tangent segment PA touches the circle at point A and ...

    Text Solution

    |

  11. Chords AB and CD of a circle intersect in point Q in interior of a cir...

    Text Solution

    |

  12. Prove that, angles inscribed in the same are arc congruent.

    Text Solution

    |

  13. Two circles intersect each other in points A and B. Seg AB is the chor...

    Text Solution

    |

  14. In the figure, P is the centre of the circle. Two chords AB and CD are...

    Text Solution

    |

  15. Three circles touch each other pairwise externally. If the distance be...

    Text Solution

    |

  16. In the figure P is the centre and A and B are the endpoints of diamete...

    Text Solution

    |

  17. In the figure, O is the centre of circle / QPR = 70^(@) and m (arc PYR...

    Text Solution

    |

  18. As per the figure, two circles intersect each other at points P and Q....

    Text Solution

    |

  19. square ABCD is a rectangle. Taking AD as a diameter a semicircle AXD i...

    Text Solution

    |

  20. As shown in the figure, AP is tangent to the circle at point A. Secan...

    Text Solution

    |