New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Application of Derivatives question

2006 · Shift 0 · Q58

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Application of Derivatives
2006 · Shift 0 · Q58

Application of Derivatives question

2006 · Shift 0 · Q58

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length

x

. The maximum area enclosed by the park is

A
${3 \over 2}{x^2}$
B
$\sqrt {{{{x^3}} \over 8}}$
C
${1 \over 2}{x^2}$
D
$\pi {x^2}$

More from Application of Derivatives

A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of $2 cm / s^{2}$ and pursues the insect which is crawling uniformly along a straight line at a speed of $20 cm / s$ …2005 · MCQ
A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?2005 · MCQ
Area of the greatest rectangle that can be inscribed in the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ 2005 · MCQ
A spherical iron ball $10$ cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of $50$ cm $5$ /min. When the thickness of ice is $5$ cm, then the rate at which the thickness of ice decreases is2005 · MCQ
A point on the parabola $y^{2} = 18 x$ at which the ordinate increases at twice the rate of the abscissa is2004 · MCQ
The real number $x$ when added to its inverse gives the minimum sum at $x$ equal :2003 · MCQ
If the function $f (x) = 2 x^{3} - 9 a x^{2} + 12 a^{2} x + 1,$ where $a > 0,$ attains its maximum and minimum at $p$ and $q$ respectively such that $p^{2} = q$ , then $a$ equals2003 · MCQ
The maximum distance from origin of a point on the curve $x = a sin t - b sin (\frac{a t}{b}) y = a cos t - b cos (\frac{a t}{b}),$ both $a, b > 0$ is2002 · MCQ