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Q.

B is a point situated vertically upwards on A at a distance of a unit. C is a point at a height ‘2a’ units from a horizontal passing through A and the angles of elevation of C from A and B are α and βrespectively, then cotαtanβ=

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a

1

b

2

c

12

d

3

answer is C.

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Detailed Solution

We have tanβ=ax,    tanα=2ax=2.tanβ ∴        cotα.tanβ=12
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