1
IIT-JEE 1993
MCQ (More than One Correct Answer)
+2
-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:
2
IIT-JEE 1993
Subjective
+3
-0
Find the equation of the normal to the curve
$$y = {\left( {1 + x} \right)^y} + {\sin ^{ - 1}}\left( {{{\sin }^2}x} \right)$$ at $$x=0$$
$$y = {\left( {1 + x} \right)^y} + {\sin ^{ - 1}}\left( {{{\sin }^2}x} \right)$$ at $$x=0$$
3
IIT-JEE 1993
Subjective
+5
-0
Let $$f\left( x \right) = \left\{ {\matrix{
{ - {x^3} + {{\left( {{b^3} - {b^2} + b - 1} \right)} \over {\left( {{b^2} + 3b + 2} \right)}},} & {0 \le x < 1} \cr
{2x - 3} & {1 \le x \le 3} \cr
} } \right.$$
Find all possible real values of $$b$$ such that $$f(x)$$ has the smallest value at $$x=1$$.
4
IIT-JEE 1993
Fill in the Blanks
+2
-0
The value of $$\int\limits_{\pi /4}^{3\pi /4} {{\phi \over {1 + \sin \phi }}d\phi } $$ is ..............
Paper analysis
Total Questions
Chemistry
20
Mathematics
29
Physics
2
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