Home
Class 12
MATHS
Two variable chords AB and BC of a circl...

Two variable chords AB and BC of a circle `x^(2)+y^(2)=a^(2)` are such that `AB=BC=a`. M and N are the midpoints of AB and BC, respectively, such that the line joining MN intersects the circles at P and Q, where P is closer to AB and O is the center of the circle.
`/_ OAB` is

A

`15^(@)`

B

`30^(@)`

C

`45^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise CIRCLE EXERCISE 5: MATCHING TYPE QUESTIONS|4 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

Similar Questions

Explore conceptually related problems

Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such that AB=BC=a . M and N are the midpoints of AB and BC, respectively, such that the line joining MN intersects the circles at P and Q, where P is closer to AB and O is the center of the circle. The locus of the points of intersection of tangents at A and C is

AB and AC are two chords of a circle of radius r such that AB = 2AC. If p and q are the distances of AB and AC from the centre, prove that 4q^2 = p^2 + 3r^2

ABCD is a trapezium in which AB || DC . M and N are the mid-points of AD and BC respectively. If AB = 12 cm, and MN = 14 cm, find CD.

In Fig. M, N and P are the mid-points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm, and MP = 2.5 cm, calculate BC and AB and AC.

In Fig. M, N and P are the mid-points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm, and MP = 2.5 cm, calculate BC and AB and AC.

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

Two equal chords AB and CD of a circle C(O,r) when produced meet at a point E. Prove that: BE = DE

Dand E are the mid-points of the sides AB and AC of DeltaABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If DQ and AB when produced meet at E, prove that PQ ||DC .

P and Q are respectively the midpoints of sides AB and BC or a triangle ABC and R is the mid-point of AP, show ar(PRQ)= 1/2 ar(ARC).

ARIHANT MATHS-CIRCLE -Exercise (Passage Based Questions)
  1. Consider the circle S: x^2 + y^2 - 4x-1=0 and the line L: y = 3x - 1. ...

    Text Solution

    |

  2. Consider with circle S: x^2+y^2-4x-1=0 and the line L: y=3x-1. If the...

    Text Solution

    |

  3. P is a variable point on the line L=0 . Tangents are drawn to the circ...

    Text Solution

    |

  4. P is a variable point on the line L=0. Tangents are drawn to the circl...

    Text Solution

    |

  5. P is a variable point on the line L=0 . Tangents are drawn to the circ...

    Text Solution

    |

  6. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

    Text Solution

    |

  7. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

    Text Solution

    |

  8. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

    Text Solution

    |

  9. Give two circles intersecting orthogonally having the length of commo...

    Text Solution

    |

  10. Given two circles intersecting orthogonally having the length of commo...

    Text Solution

    |

  11. Given two circles intersecting orthogonally having the length of commo...

    Text Solution

    |

  12. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

    Text Solution

    |

  13. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

    Text Solution

    |

  14. Find the derivative of (px + q)/(rx + s) , where p,q,r and s are non z...

    Text Solution

    |

  15. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

    Text Solution

    |

  16. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

    Text Solution

    |

  17. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

    Text Solution

    |

  18. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

    Text Solution

    |

  19. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

    Text Solution

    |

  20. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

    Text Solution

    |