Q.

The number of solutions of the equation cos⁡(πx−4)cos⁡(πx)=1 is

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a

1

b

2

c

more than two

d

0

answer is A.

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Detailed Solution

Given equation is possible if cos⁡(πx−4)=1 and cos⁡(πx)=1.Since  x−4≥0⇒x≥4 and  x≥0So x=4 is the only solution.
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The number of solutions of the equation cos⁡(πx−4)cos⁡(πx)=1 is