Home
Class 12
MATHS
If tangents PA and PB from a point to a ...

If tangents PA and PB from a point to a circle with centre O are inclined to each other at angle of 80 ∘ , then ∠POA is equal to ,

A

(a) 50

B

(b) 60

C

(c) 70

D

(d) 80

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|24 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|15 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERSISE 1: SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80^@ , then angle POA is equal to

Draw a pair of tangents to a circle of radius 5cm which are inclined to each other at an angle of 60^(@)

Tangents drawn from the point (4, 3) to the circle x^2+y^2-2x-4y=0 are inclined at an angle :

Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that angle PTQ=2angleOPQ .

In Fig., if TP and TQ and two tangents to a circle with centre O so that ZPOQ = 110^@ , then ZPTQ is equal to

In the following choose the correct option and give justification. In Fig. 10.11 , if TP and TQ are the two tangents to a circle with centre O so that angle POQ= 110^@ , then angle PTQ is equal to

Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that /_ PTQ = 2 /_ OPQ .

Two equal chords AB and CD of a circle with centre O, intersect each other at E. Prove that AD = CB

In Fig. 12.27, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a ...

    Text Solution

    |

  2. Differentiate the following function w.r.t x sin^3x+cos^6x

    Text Solution

    |

  3. If tangents PA and PB from a point to a circle with centre O are incli...

    Text Solution

    |

  4. Differentiate the following w.r.t x (3x^2-9x+5)^9

    Text Solution

    |

  5. In a triangle a = sqrt5,b = 2, /A=pi/6 and the two possible values of...

    Text Solution

    |

  6. If R(1) is the circumradius of the pedal triangle of a given triangle ...

    Text Solution

    |

  7. If in a triangle (1-(r(1))/(r (2)))(1-(r(1))/(r (3)))=2. then show tha...

    Text Solution

    |

  8. If the median AD of a triangle ABC makes an angle theta with side, AB,...

    Text Solution

    |

  9. Differentiate the following w.r.t x (sinx-cosx)^(sinx-cosx)

    Text Solution

    |

  10. In a Delta ABC, (a+b+c) (b+c-a)=lamdabc, if

    Text Solution

    |

  11. In the DeltaABC, if (a ^(2) +b^(2))sin (A-B) =(a^(2) -b^(2)) sin (A+B...

    Text Solution

    |

  12. Differentiate the following w.r.t x (5x)^(3cos2x)

    Text Solution

    |

  13. If a, b,c be the sides of a triangle ABC and if roots of equation a(b-...

    Text Solution

    |

  14. The ratio of the area of a regular polygon of n sides inscribed in a c...

    Text Solution

    |

  15. In any triangle ABC sum (sin^2A+sinA+1)/sinA is always greater than or...

    Text Solution

    |

  16. If the incircel of the triangle ABC, through it's circumcentre, then t...

    Text Solution

    |

  17. The perimeter of a triangle ABC is six times the arithmetic mean of ...

    Text Solution

    |

  18. If there are only two linear functions f and g which map [1,2] on [4,6...

    Text Solution

    |

  19. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  20. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

    Text Solution

    |