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Mathematics Question on Continuity and differentiability

If f(x)={2xfor x<1 5a−xfor x≥1f(x) = \begin{cases} 2x & \text{for}\ x\lt1 \\\ 5a-x & \text{for}\ x\geq1 \end{cases} is continuous on R\R, then the value of a is equal to

A

15\frac{1}{5}

B

25\frac{2}{5}

C

35\frac{3}{5}

D

45\frac{4}{5}

E

1

Answer

35\frac{3}{5}

Explanation

Solution

The correct option is (C): 35\frac{3}{5}