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In a square ABCD, A is joined to a point...

In a square ABCD, A is joined to a point X on BC and D is joined to a point Y on AB. If AX = DY, prove that AX is perpendicular to DY.

A

`60^(@)`

B

`120^(@)`

C

`90^(@)`

D

can't be determined

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.3
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  3. In a square ABCD, A is joined to a point X on BC and D is joined to a ...

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  4. A point X inside a rectangle PQRS is joined to the vertices then, whic...

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  9. Two parallelograms stand on equal bases and between the same parallels...

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  10. If a rectangle and a parallelogram are equal in area and have the same...

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  11. If area of a parallelogram with sides l and b is A and that of a recta...

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  12. ABCD is a parallelogram and M is the mid point of BC. AB and DM are pr...

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  13. In a rectangle ABCD, P,Q are the mid-points of BC and AD respectively ...

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  14. Diagonals of a parallelogram are 8 m and 6 m respectively. If one of s...

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  15. In the given figure AD = 15 cm, AB = 20 cm and BC = CD = 25 cm. Find t...

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  16. In a trapizium ABCD, angleBAE=30^(@), angleCDF=45^(@), BC = 6 cm. and ...

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  17. Area of quadrilateral ACDE is 36 cm^(2), B is the mid-point of AC. Fin...

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  18. A square and a rhombus have the same base and rhombus is inclined at 3...

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  19. Find the area of a quadrilateral with sides 17,25, 30 and 28 cm and on...

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  20. ABCD is a cyclic quadrilateral whose diagonals intersect at a point E....

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