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P is a point on the segment joining the feet to vertical poles of heights a and b, The angles of elevation of the tops of the poles from P are `45^@` each. Then the square of the distance between the tops of the poles is:

A

`(a^2+b^2)/2`

B

`a^2+b^2`

C

`2(a^2+b^2)`

D

`4(a^2+b^2)`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1C
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  2. The angles of elevation of the tops of two vertical towers as seen fro...

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  3. P is a point on the segment joining the feet to vertical poles of heig...

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  4. A tower subtends angles alpha,2 alpha, 3 alpha respectively at points ...

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  5. The angle of elevation of a cloud from a point h mt above the surface ...

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  6. The angle of elevation of a stationary cloud from a point 2500 mt abov...

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  7. The angle of elevation of the top of the tower observed from each of t...

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  8. A person stading on the bank of a river observerves that the angle of ...

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  9. ABC is a triangular park with AB=AC=100 meters. A clock tower is situa...

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  10. An aeroplane flying with uniform speed horizontally one kilometer abov...

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  11. The upper 3//4^(th) portion of a vertical pole subtends an angle "Tan"...

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  12. A vertical pole subtends an angle Tan^-1(1/2) at a point P on the grou...

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  13. The angle of elevation of a stationar cloud from a point 2500 m above ...

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  14. A lamp post is sittuated at the middle point M of the side AC of a tri...

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  15. A tree stands vertically on the slant of the hills From a point A on t...

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  16. An object is placed at a distance of 10 cm from a convex mirror of foc...

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  17. Two ships leave a port at the same time . One goes 24km per hour in th...

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  18. Two trees A and B are on the same side of a river. From a point C in t...

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  19. The angle of elevation of the toop point P of the vertical tower PQ of...

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  20. AB is a vertical pole with B at the ground level and and A at the top ...

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