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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

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-HEIGHTS AND DISTANCES-LECTURE SHEET Exercise-I (Straight Objective Type Questions)
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  2. P is a point on the segment joining the feet to vertical poles of heig...

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  3. An obserever finds that the angular elevation of a tower is theta. On...

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  4. If a flag staff of 6 mt high placed on the top of a tower throws a sha...

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  5. Two pillars are 120 ft a part and the height of one in double that of ...

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  6. Two vertical poles 20m and 80m heigh stand apart on a horizontal plane...

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  7. If from the top of a tower of 60 metre heigh, the angles of depression...

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  8. From the top of a cliff x mts heigh, the angle of depression of the fo...

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  9. A ladder rests against wall at an angle alpha to the harizontal. Its f...

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  10. If the angles of elevation of the top of a tower from three collinear ...

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  11. A ballon is observed simultaneously from the 3 points A,B,C on a staig...

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  12. At the foot of the mountain the elevation of its summit is 45^(@) Afte...

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  13. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  14. The upper 3//4th portion of a vertical pole subteds pole subteds an an...

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  15. A tower MPQ surmounted by a spiral QR stands on a harzontal plane. At ...

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  16. On one side of a road of width 'd' meters there is a points of observa...

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  17. A flag staff of 5 mts high stands on a building of 25 mt high. At an o...

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  18. There are two stations P,Q due north, due south of a tower of height 1...

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  19. A tower leans towards west making an angle alpha with the vertical. Th...

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  20. A man is walking towards a vertical pillar in a straight path, at a un...

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