1

IIT-JEE 1992

Subjective

+4

-0

A cubic $$f(x)$$ vanishes at $$x=2$$ and has relative minimum / maximum at $$x=-1$$ and $$x = {1 \over 3}$$ if $$\int\limits_{ - 1}^1 {f\,\,dx = {{14} \over 3}} $$, find the cubic $$f(x)$$.

2

IIT-JEE 1992

Subjective

+6

-0

What normal to the curve $$y = {x^2}$$ forms the shortest chord?

3

IIT-JEE 1992

Subjective

+2

-0

In this questions there are entries in columns $$I$$ and $$II$$. Each entry in column $$I$$ is related to exactly one entry in column $$II$$. Write the correct letter from column $$II$$ against the entry number in column $$I$$ in your answer book.

Let the functions defined in column $$I$$ have domain $$\left( { - {\pi \over 2},{\pi \over 2}} \right)$$

$$\,\,\,\,$$**Column $$I$$**

(A) $$x + \sin x$$

(B) $$\sec x$$

$$\,\,\,\,$$**Column $$II$$**

(p) increasing

(q) decreasing

(r) neither increasing nor decreasing

4

IIT-JEE 1991

Subjective

+4

-0

A window of perimeter $$P$$ (including the base of the arch) is in the form of a rectangle surmounded by a semi circle. The semi-circular portion is fitted with coloured glass while the rectangular part is fitted with clear glass transmits three times as such light per square meter as the coloured glass does.

What is the ratio for the sides of the rectangle so that the window transmits the maximum light ?

Questions Asked from Application of Derivatives (Subjective)

Number in Brackets after Paper Indicates No. of Questions

IIT-JEE 2006 (1)
IIT-JEE 2005 (2)
IIT-JEE 2004 (2)
IIT-JEE 2003 (4)
IIT-JEE 2001 (1)
IIT-JEE 2000 (1)
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IIT-JEE 1997 (1)
IIT-JEE 1996 (3)
IIT-JEE 1995 (1)
IIT-JEE 1994 (2)
IIT-JEE 1993 (2)
IIT-JEE 1992 (3)
IIT-JEE 1991 (1)
IIT-JEE 1990 (2)
IIT-JEE 1989 (1)
IIT-JEE 1988 (1)
IIT-JEE 1987 (1)
IIT-JEE 1985 (2)
IIT-JEE 1983 (2)
IIT-JEE 1982 (2)
IIT-JEE 1981 (3)
IIT-JEE 1979 (1)

JEE Advanced Subjects

Physics

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Some Basic Concepts of Chemistry
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