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Find the number of pairs of integer (x ,...

Find the number of pairs of integer `(x , y)` that satisfy the following two equations: `{cos(x y)=xtan(x y)=y` 1 (b) 2 (c) 4 (d) 6

A

1

B

2

C

4

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
`(sin (xy))/(cos (xy))=y`
or `sin (xy)=xy`
or `xy=0`
`:. x=0 or y=0`
But `x=0` is not possible
`:. y=0` and `x=1`, i.e. `(1, 0)`.
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