Home
Class 14
MATHS
In a cyclic quadrilateral ABCD, AB = BC,...

In a cyclic quadrilateral ABCD, AB = BC, AD = DC, `AC_|_BD, angleCAD=theta`. Then `angleABC` will be-

A

`theta`

B

`theta//2`

C

`2theta`

D

`3theta`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DATA INTERPRETATION

    MOTHERS|Exercise MULTIPLE CHOICE QUESTIONS|372 Videos

  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos

Similar Questions

Explore conceptually related problems

A cyclic quadrailatral ABCD is such that AB=BC, AD=Dc AC _|_ BD, angle CAD = theta Then the angle angle ABC

In cyclic quadrilateral ABCD, AD|| BC. Prove that AB = CD.

In quadrilateral ABCD, AB "||" CD and AD= BC, prove that angleA=angleB.

In quadrilateral ABCD, AB = AD and BC = CD. Show that angleABC= angleADC .

Show that in a quadrilateral ABCD AB+BC+CD+DA gt AC + BD

A cyclic quadrilateral ABCD is such that AB=BC,AD=DC and AC and BD intersect at O. If angleCAD=46^@ , then the measure of angleAOB is equal to:

In a quadrilateral ABCD, show that (AB+BC+CD+DA)gt(AC+BD) .

ABCD is a cyclic quadrilateral in which AB is a diameter , ,BC=CDandangleABD=50^(@) then angleDBC is :

A cyclic Quadrilateral ABCD is such that AB=BC, AD=DC and AC and BD intersect at O. If angle CAD= 46^@ , then the measure of angle AOB is equal to: एक चक्रीय चतुर्भुज ABCD इस प्रकार है की AB = BC, AD = DC और AC और BD पर O पर प्रतिच्छेदित करती है । यदि angle CAD= 46^@ है, तो angle AOB का माप है:

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. Two chords of length 'a' meter and 'b' meter make an angle of 60^(@) a...

    Text Solution

    |

  2. ABC is a equilateral triangle and CD is internal bisector of angleC. I...

    Text Solution

    |

  3. In a cyclic quadrilateral ABCD, AB = BC, AD = DC, AC|BD, angleCAD=thet...

    Text Solution

    |

  4. If side of an equilateral triangle is decreased by 2 cm. then its area...

    Text Solution

    |

  5. In DeltaPQR, point S and T are on sides Pr and PQ such that anglePQR=a...

    Text Solution

    |

  6. In a scalene triangle park, a pole is situated and angle of elevation ...

    Text Solution

    |

  7. The measure of sides are (x^(2)-1), (x^(2)+1) and 2x cm. then the tria...

    Text Solution

    |

  8. If a given figure angleONY=50^(@) and angleOMY=15^(@) then value of an...

    Text Solution

    |

  9. The circle C(1) of radius (sqrt(3)+1) has chord AB which touch another...

    Text Solution

    |

  10. I and O are incentre and circumcentre of a Delta ABC. AI is produced a...

    Text Solution

    |

  11. C(1) and C(2) are two circle which touch internally at point P. Two li...

    Text Solution

    |

  12. The diagonals of quad. ABCD cut at right angle then find AB^(2)+CD^(2)...

    Text Solution

    |

  13. ABCD is a parallelogram in which diagonals AC and BD intereset at O. I...

    Text Solution

    |

  14. In a right angle triangle DeltaABC a point D is situated on side BC wh...

    Text Solution

    |

  15. In a given figure, OABC is a rhombus which has 3 angles on circumferen...

    Text Solution

    |

  16. In the given figure O is the centre of the circle AC and BD intersects...

    Text Solution

    |

  17. In the given figure, AB is a line of length 2a and mid Point M. Taking...

    Text Solution

    |

  18. In the given figure, AB is a diameter of a circle and CD is perpendicu...

    Text Solution

    |

  19. In the given figure O is the centre of the circle. Line UTV is tangent...

    Text Solution

    |

  20. In the figure XY is a tangent to the circle with centre O at A. If ang...

    Text Solution

    |