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Question:

The number of points in (−∞, ∞), for which x² − xsinx − cosx = 0, is

6

0

4

2

Solution:

Better approach is with graphs, considering graphs in equation we get x² − xsinx − cosx = 0
x² = xsinx + cosx
Let F(x) = x² and G(x) = xsinx + cosx
The graph intersects at two points hence the answer is 2.