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Question

The number of real solutions of the equation (sinxx)(cosxx2)=0 is 


Your Answer
A
1
Your Answer
B
2
Correct Answer
C
3
Your Answer
D
4

Solution

The correct option is A 3
We have (sinxx)(cosxx2)=0
  sinxx=0 or cosx=x2

When sinxx=0

(only one solution)

When cosx=x2
(two solutions)
Therefore, the equation has 3 solutions.

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