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A B C D is a trapezium in which A B ...

`A B C D` is a trapezium in which `A B C D` . The diagonals `A C` and `B D` intersect at `O` . Prove that (i) ` A O B C O D` (ii) If `O A=6c m` , `O C=8c m` , Find: `(A r e a\ ( A O B))/(A r e a\ ( C O D))` (b) `(A r e a\ ( A O D))/(A r e a\ ( C O D))`

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RD SHARMA-TRIANGLES-All Questions
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  2. In Fig. 4.179, A B C and D B C are on the same base B C . If A...

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  3. A B C D is a trapezium in which A B C D . The diagonals A C and...

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  4. In A B C , P divides the side A B such that A P : P B=1:2 . Q is a...

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  5. The areas of two similar triangles are 100\ c m^2 and 49\ c m^2 res...

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  6. The areas of two similar triangles are 121\ c m^2 and 64\ c m^2 res...

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  7. If A B C D E F such that A B=5c m , area ( A B C)=20\ c m^2 and are...

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  8. In A B C , P Q is a line segment intersecting A B at P and A C at ...

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  9. The areas of two similar triangles A B C and P Q R are in the ra...

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  10. A B C is a triangle and P Q is a straight line meeting A B in P ...

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  11. If D is a point on the side A B of A B C such that A D : D B=3:2 a...

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  12. (Result on obtuse triangle) In Fig. 4.183, A B C is an obtuse t...

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  13. (Result on acute triangle) In Fig. 4.184, /B of A B C is an acute ...

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  14. A right triangle has hypotenuse of length p\ c m and one side of...

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  15. The sides of certain triangles are given below. Determine which of ...

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  16. A man goes 10m due east and then 24 m due north. Find the distance ...

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  17. A ladder is placed in such a way that its foot is at a distance of ...

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  18. A ladder 25m long reaches a window of a building 20m above the grou...

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  19. The hypotenuse of a right triangle is 6m more than the twice of the...

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  20. In Fig. 4.192, A B C is a right triangle right-angled at B . A D...

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