IIT-JEE 1993 | Application of Derivatives Question 89 | Mathematics

IIT-JEE 1993

MCQ (More than One Correct Answer)

-0.5

If $$f\left( x \right) = \left\{ {\matrix{ {3{x^2} + 12x - 1,} & { - 1 \le x \le 2} \cr {37 - x} & {2 < x \le 3} \cr } } \right.$$ then:

$$f(x)$$ is increasing on $$\left[ { - 1,2} \right]$$

$$f(x)$$ is continues on $$\left[ { - 1,3} \right]$$

$$f'(2)$$ does not exist

$$f(x)$$ has the maximum value at $$x=2$$

IIT-JEE 1986

MCQ (More than One Correct Answer)

-0.5

If the line $$ax+by+c=0$$ is a normal to the curve $$xy=1$$, then

$$a > 0,b > 0$$

$$a > 0,b < 0$$

$$a < 0,b > 0$$

$$a < 0,b < 0$$

JEE Advanced Subjects