Home
Class 10
MATHS
In the given figure , AOB is a diameter ...

In the given figure , AOB is a diameter and DC is parallel to AB . If ` angle CAB = x^(@) , ` find (in terms of x) the values of :
(i) ` angle COB `
(ii) ` angle DOC `
(iii) ` angle DAC `
(iv) ` angle ADC. `

Text Solution

Verified by Experts

The correct Answer is:
`(i) 2x (ii) 180 ^(@) - 4x (iii) 90 ^(@) - 2x (iv) 90 ^(@) +x `
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    ICSE|Exercise EXERCISE 17(B) |10 Videos

  • CIRCLES

    ICSE|Exercise EXERCISE 17( C ) |28 Videos

  • CIRCLES

    ICSE|Exercise EXERCISE 17( C ) |28 Videos

  • CHAPTERWISE REVISION EXERCISE

    ICSE|Exercise CHAPTERWISE REVISION EXERCISE (PROBABILITY)|16 Videos

  • CONSTRUCTIONS (CIRCLES)

    ICSE|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

In the given figure BC//DE and O is the centre of the circle . If angle CDE = x^(@) , find in terms of x^(@) the value of angle BAC .

In the given figure, find angle AOB .

In the given AB is a diameter and DC is tangent which meets AB produced at point. C . If angle DAC = x ^(@), find in terms of x ^(@): angle DBC

In the given AB is a diameter and DC is tangent which meets AB produced at point. C . If angle DAC = x ^(@), find in terms of x ^(@): angle DCB

In the given figure , AD is a diameter O is the centre of the circle AD is parallel to BC and angle CBD = 32 ^(@) (i) angle OBD (ii ) angle AOB (iii) angle BED

In the adjoining figure, AOB is the diameter and O is the centre of the circle. If angle BDC=60^@ , then find the value of angleABC .

In the given figure, /_COB = 40^(@), AB is the diameter of the circle. Find /_CAB :

In the adjoining figure, AOB is the diameter of the circle. If angleABP=45^@ , then find the value of angle PQB .

In the figure given , O is the centre of the circle . angle DAE = 70^(@) , Find the giving suitable reasons , the measure of (i) angle BCD (ii) angle BOD (iii) angle OBD

In the given figure, AB||CD . Find the angles x, y and z

ICSE-CIRCLES-EXERCISE 17(A)
  1. In the given figure AB is a diameter of the circle with centre O. DO i...

    Text Solution

    |

  2. In the given figure, I is the incentre of Delta ABC BI when produce...

    Text Solution

    |

  3. A triangle ABC is inscribed in a circle. The bisector of angles BAC, A...

    Text Solution

    |

  4. Calculate the angles x,y and z if (x)/(3) = (y)/(4) =(z)/(5) (#...

    Text Solution

    |

  5. In the given figure , AB = AC = CD and angle ADC = 38^(@) . Calculat...

    Text Solution

    |

  6. In the given figure ,AC is the diameter of circle , centre O. Chord BD...

    Text Solution

    |

  7. In the given figure ,AC is the diameter of the circle with centre O,C...

    Text Solution

    |

  8. In the given figure . AE is the diamter of the circle . Write down the...

    Text Solution

    |

  9. In the given figure. AOC is a diameter and AC is parallel to ED . If ...

    Text Solution

    |

  10. Use in the given figure to find : (i) angle BAD . (ii) angle DQ...

    Text Solution

    |

  11. In the given figure , AOB is a diameter and DC is parallel to AB . If ...

    Text Solution

    |

  12. In the given figure ,AB is the diameter of a circle with centre O. an...

    Text Solution

    |

  13. In the given figure, PQ is the diameter of the circle whose centre is ...

    Text Solution

    |

  14. In the given figure, PQ is a diameter Chord SR is parallel to PQ . Giv...

    Text Solution

    |

  15. AB is the diameter of the circle with centre O. OD is parallel to BC a...

    Text Solution

    |

  16. In the given figures , the centre O of the small circle lies on the ci...

    Text Solution

    |

  17. In the given figures , angle BAD = 65 ^(@) , angle ABD = 70 ^(@) and ...

    Text Solution

    |

  18. In a cyclic quadrilateral ABCD angle A : angle C = 3: 1 and angle B...

    Text Solution

    |

  19. The given figures shows a circle with centre O and angle ABP = 42 ^(...

    Text Solution

    |

  20. In the given figure, M is the centre of the circle Chords AB and CD ar...

    Text Solution

    |