Home
Class 14
MATHS
There are two tangents AT and BT on a ci...

There are two tangents AT and BT on a circle of radius 30 cm. A line OT(=50 cm) connects the centre O with the external point T. another tangent CD touches the circle at P such that C and D lie on the line segment AT and BT respectively. Points P and T lie on the same side of the circle. find the maximum possible area (in sq. cm) of the circle inscribed in the triangle CDT.

A

`56.25pi`

B

`49pi`

C

`42.25pi`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

Draw a circle of radius 3 cm. From a point 5 cm from the centre of the circle, draw two tangents to the circle. Measure the length of each tangent.

Draw two tangents to a circle of radius 4 cm from a point T at a distance of 6 cm from its centre.

Find the length of tangent segment drawn to a circle with radius 5 cm from a point 13 cm from the centre of the circle.

PA and PB are the two tangents drawn on a circle from and external point P. The centre of the circle is O and the tangents touches the circles at points A and B. Then quadrilateral OAPB is-

Draw a circle of radius 3 cm. Take a point P at a distance of 5 cm from the centre of the circle. From P, construct a pair of tangents to the circle.

O is the centre of a circle of radius 5cm. T is a point such that OT=13cm and OT intersects the circle at E. If AB is the tangent to the circle at E, find length of AB.

A point P is 25cm away from the centre of a circle and the lens of tangent drawn from P to the circle is 24cm . Find the radius.

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. Triangle ABC inscribes a circle with centre O and inradius sqrt6 cm. T...

    Text Solution

    |

  2. A circle with radius 12 cm has two perpendicular chords AB and CD inte...

    Text Solution

    |

  3. There are two tangents AT and BT on a circle of radius 30 cm. A line O...

    Text Solution

    |

  4. Summation of 5 consecutive numbers is found out to be 335. If we add t...

    Text Solution

    |

  5. In the following figure AB=21cm, BC=15 cm, AC=24 cm. Point P is the mi...

    Text Solution

    |

  6. In the following figure one side of the triangleABC passes through the...

    Text Solution

    |

  7. In the following figure there are four chords AB,CD,AC,BD in a circle....

    Text Solution

    |

  8. An error 2% in excess is made while measuring the side of a square. Wh...

    Text Solution

    |

  9. The unit digit in the product (624 × 708 × 913 × 463) is:

    Text Solution

    |

  10. The ratio of two numbers is 4 : 5 and their H.C.F is 4. Find their L.C...

    Text Solution

    |

  11. A circle has its total area A. there are four equal circle tangent to ...

    Text Solution

    |

  12. If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x

    Text Solution

    |

  13. The average weight of three boys P, Q and R is 54 kg, while the averag...

    Text Solution

    |

  14. Two-third of a positive number and 16/216 of its reciprocal are equal....

    Text Solution

    |

  15. The ratio between the present ages of A and B is 3:5 respectively. If ...

    Text Solution

    |

  16. If semiperimeter of a right angle Delta is 126 cm and shortest media...

    Text Solution

    |

  17. In an isoceles right angled triangle ABC, angle B is right angle, Angl...

    Text Solution

    |

  18. In a right angled triangle angleB and angleA are acute angles. If ang...

    Text Solution

    |

  19. In the given figure 'O' is the centre of the circle SP and TP are the ...

    Text Solution

    |

  20. A ladder 6.5 m long is standing against a wall and the difference betw...

    Text Solution

    |