Home
Class 12
MATHS
If the angles subtended by two chords of...

If the angles subtended by two chords of a circle at the centre are equal, then Prove chords are equal.

A

A family of lines passing through a fixed point lying on the circle

B

A family of lines passing through a fixed point inside the circle

C

A family of lines passing through a fixed point lying outside the circle

D

A family of lines through which never pass through a fixed point

Text Solution

Verified by Experts

The correct Answer is:
B, C, D

`/_"AA"_(1)B=/_"AA"_(2)B="AA"_(3)=2theta`
`implies/_PA_(1)B=/_PA_(2)B=/_PA_(3)B=theta`
All the angle bisecto `PA_(1),PA_(2),PA_(3)`…….
pass through a fixed point `P` lying on the circle.
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise Math|105 Videos
  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos
  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

If the angles subtended by two chords of congruent circles at the corresponding centres are equal, then Prove chords are equal.

Two chords AB and CD intersect at P inside the circle . Prove that the sum of the angles substended by the arcs AC and BD at the centre O is equal to twice the angle APC.

The line joining the mid-points of two chords of a circle passes through its centre. Prove that the chords are parallel.

Chords of a circle which are equidistant from the centre are equal.

If angle subtended by any chord of a rectangular hyperbola at the centre is alpha and angle between the tangents at ends of chord is beta , then

If two arcs of a circle (or of congruent circles) are congruent, then corresponding chords are equal.

If two arcs of a circle (or of congruent circles) are congruent, then corresponding chords are equal.

A chord of a circle is equal to the radius of the circle find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

A chord of a circle is equal to the radius of the circle find the angle subtended by the chord at a point on the monor arc and also at a point on the major arc.

A chord of a circle is equal to the radius of the circle find the angle subtended by the chord at a point on the monor arc and also at a point on the major arc.

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. The number of solutions to |e^(|x|)-3|=K is

    Text Solution

    |

  2. Let f(x)={(x+1, -1lexle0),(-x,0ltxle1):} then

    Text Solution

    |

  3. If the angles subtended by two chords of a circle at the centre are ...

    Text Solution

    |

  4. Consider the function f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):} ...

    Text Solution

    |

  5. Which of the following is True?

    Text Solution

    |

  6. lim(xrarrc)f(x) does not exist for wher [.] represent greatest integ...

    Text Solution

    |

  7. f(x)is defined for xge0 & has a continuous derivative. It satisfies f(...

    Text Solution

    |

  8. Let A*B=A^(T)B^(-1) where A^(T) represents transpose of matrix A and B...

    Text Solution

    |

  9. Let A*B=A^(T)B^(-1) where A^(T) represents transpose of matrix A and B...

    Text Solution

    |

  10. A curve is represented parametrically by the equations x=e^(1)cost and...

    Text Solution

    |

  11. A curve is represented parametrically by the equations x=e^(1)cost and...

    Text Solution

    |

  12. Find the locus of the point of intersection of the perpendicular ta...

    Text Solution

    |

  13. If the points (2-x, 2, 2), (2, 2-y, 2) and (2, 2, 2-z) are coplanar th...

    Text Solution

    |

  14. cot^(-1)(-1/2)+cot^(-1)(-1/3) is equal to

    Text Solution

    |

  15. If the focus of a parabola is (3,3) and its directrix is 3x-4y=2 then ...

    Text Solution

    |

  16. If a(1),a(2),a(3),…a(n+1) are in arithmetic progression, then sum(k=0)...

    Text Solution

    |

  17. A line makes an angle theta with each of the x-and z-axes. If the an...

    Text Solution

    |

  18. The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greate...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=0, then (dy)/(dx)=-y/x. Stat...

    Text Solution

    |