Home
Class 10
MATHS
The given figure shows an isosceles tria...

The given figure shows an isosceles triangle ABC inscribed in a circle such that AB=AC. If DAE is a tangent to the circle at point A, prove that DE is parallel to BC.

Text Solution

Verified by Experts

The correct Answer is:
DAE is parallel to BC
Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18(A)|24 Videos

  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (B)|18 Videos

  • SPECIMEN QUESTION PAPER (MATHEMATICS)

    ICSE|Exercise Section C|12 Videos

  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise QUESTIONS|22 Videos

Similar Questions

Explore conceptually related problems

In the given figure, an equilateral triangle ABC is inscribed in a circle with centre O. Find : angleOBC

In the given figure, an equilateral triangle ABC is inscribed in a circle with centre O. Find : angleBOC

Triangle ABC is incribed in a circle, such that AC is a diameter of the circle (see figure). What is the circumferene of the circle?

The given figure shows an equilateral triangles ABC and D is point in AC. Prove that : (i) AD lt BD (ii) BC gt BD

The given figure shows, AB is a diameter of the circle. Chords AC and AD produced meet the tangent to the circle at point B in points P and Q respectively. Prove that: AB^2 = AC xxAP

triangleABC is an isosceles triangle in which AB=AC, circumscribed about a circle. Prove that the base is bisccted by the point of contact.

In the given figure AB is the diameter and AC is the chord of a circle such that /_BAC=30^(@) . The tangent at C intersects AB produced at D. Prove that :BC=BD.

If D any point on the BC of an isosceles triangle ABC then prove that AB gt AD and AC gt AD .

The following figure shows a triangle ABC in which AB=AC. M is a point on AB and N is a point on AC such that BM = CN. Prove that DeltaAMC~=DeltaANB

The following figure shows a triangle ABC in which AB=AC. M is a point on AB and N is a point on AC such that BM = CN. Prove that DeltaBMC~=DeltaCNB

ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18 (C)
  1. The given figure shows an isosceles triangle ABC inscribed in a circle...

    Text Solution

    |

  2. Prove that , Of any two chords of a circle, show that the one which is...

    Text Solution

    |

  3. OABC is a rhombus whose three vertices. A, B and C lie on a circle wit...

    Text Solution

    |

  4. Two circles with centres A and B and radii 5 cm and 3 cm, touch each o...

    Text Solution

    |

  5. Two chords A B and A C of a circle are equal. Prove that the centre of...

    Text Solution

    |

  6. The diameter and a chord of a circle have a common end point. If the l...

    Text Solution

    |

  7. ABCD is a cyclic quadrilateral in which BC is paralleld to AD, angle A...

    Text Solution

    |

  8. In the given figure, C and D are points on the semi circle described o...

    Text Solution

    |

  9. In cyclic quadrilateral ABCD,/A=3/C and /D=5 /B. Find the measure of e...

    Text Solution

    |

  10. Prove that the circle drawn on any one of the equal sides of an iso...

    Text Solution

    |

  11. Bisectors of vertex angles A, B and C of a triangle ABC intersect its ...

    Text Solution

    |

  12. In the figure AB is the chord of a circle with centre O and DOC is a l...

    Text Solution

    |

  13. Prove that the perimeter of a right triangle is equal to the sum of th...

    Text Solution

    |

  14. . Prove that the tangent drawn at the mid-point of an arc of a circle ...

    Text Solution

    |

  15. In the given figure, MN is the common chord of two intersecting circle...

    Text Solution

    |

  16. In the given figure, ABCD is a cyclicquadrilateral, PQ is tangent to t...

    Text Solution

    |

  17. The given figure shows a circle with centre O and BCD is tangent to it...

    Text Solution

    |

  18. ABC is a right triagle with angle B=90^(@) . A circle with BC as diame...

    Text Solution

    |

  19. In the given figure AC=AE Show that (i) CP=EP (ii) BP=DP

    Text Solution

    |

  20. ABCDE is a cyclic pentagon with centre of its circumcircle alt point O...

    Text Solution

    |

  21. In the given figure O is the centre of the circle. Tangents at A and B...

    Text Solution

    |