Fundamentholfundamenthol
JEE Main2019Maths
Q.

1Let f : R R be a function defined as :


f\left( x \right)\left\{ {\begin{array}{*{20}{c}} {5,}\,\,\,\,\,\,\,\,\,\,\,\,\,{if}\,\,\,\,\,\,\,\,\,\,{x \leqslant 1} \\ {a + bx,}\,\,\,\,\,\,\,\,\,\,\,\,\,\,{if}\,\,\,\,\,\,\,\,\,\,\,\,\,{1 < x < 3} \\ {b + 5x,}\,\,\,\,\,\,\,\,\,\,\,\,\,{if}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{3 \leqslant x < 5} \\ {30,}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{if}\,\,\,\,\,\,\,\,\,\,\,{x \geqslant 5} \end{array} } \right.                  Then, f is :

  1. A

    continuous if a = 5 and b = 5

  2. B

    continuous if a = –5 and b = 10

  3. C

    continuous if a = 0 and b = 5

  4. D

    not continuous for any values of a and b

Solution

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