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In a triangle \(A B C\), if \(\cos A+2 \cos B+\cos C=2\) and the lengths of the sides opposite to the angles \(A\) and \…

Q1

In a triangle \(A B C\), if \(\cos A+2 \cos B+\cos C=2\) and the lengths of the sides opposite to the angles \(A\) and \(C\) are 3 and 7 respectively, then \(\cos A-\cos C\) is equal to

[JEE Main 2023, 12 Apr (Shift 1)]

a

\(\frac{3}{7}\)

b

\(\frac{9}{7}\)

c

\(\frac{10}{7}\)

d

\(\frac{5}{7}\)

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