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In the given figure, Delta ABC is an iso...

In the given figure, `Delta ABC` is an isosceles triangle in which `AB = AC` and a circle passing through B and C intersects AB and AC at D and E respectively. Prove that `DE||BC`

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`AB=AC implies /_ ACB = /_ ABC`.
`:. `ext. `/_ ADE = /_ ACB = /_ABC`
Thus, `/_ ADE = /_ABC implies DE || BC`.
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RS AGGARWAL-CIRCLES -EXERCISE 12C
  1. In the given figure, , Delta ABC is equilateral . Find (i) / BDC , ...

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  2. In the adjoining figure, ABCD is a cyclic quadrilateral in which / BCD...

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  3. In the given figure, O is the centre of a circle and / BOD = 150^(@) ....

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  4. In the given figure , O is the centre of the circle and / DAB = 50^(@)...

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  5. In the given figure, sides AD and AB of cyclic quadrilateral ABCD are ...

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  6. In the given figure, AB is a diameter of a circle with centre O and DO...

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  7. Two chords AB and CD of a circle intersect each other at P outside the...

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  8. In the given figure, O is the centre of a circle. IF / AOD = 140^(@) a...

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  9. In the given figure, Delta ABC is an isosceles triangle in which AB = ...

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  10. In the given figure, AB and CD are two parallel chrods of a circle. If...

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  11. In the given figure, / BAD = 75^(@), / DCF = x^(@) and / DEF = y^(@) ....

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  12. In the given figure, ABCD is a quadrilateral in which AD= BC and / AD...

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  13. Prove that the perpendicular bisectors of the sides of a cyclic qua...

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  14. Prove that the circle drawn with any side of a rhombus as a diameter, ...

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  15. Prove that the centre of the circle circumscribing the cyclic recta...

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  16. Give a geometrical construction for finding the fourth point lyingon a...

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  17. In a cyclic quadrilateral A B C D , if /A-\ /C=60^0, prove that ...

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  18. The diagonals of a cyclic quadrilateral are at right angles. Prove tha...

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  19. On a common hypotenuse AB, two right angled triangles, ACB and ADB are...

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  20. ABCD is such a quadrilateral that A is the centre of the circle passin...

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