The length $x$ of a rectangle is decreasing at the rate of $6$ cm/min and the width $y$ is increasing at the rate of $4$ cm/min. When $x=8$ cm and $y=4$ cm, the rate of change of the area of the rectangle is
Previous 10 Questions — AMU MCA 2017
Nearest first
1
2
3
4
5
6
7
8
9
10
The equation of the normal to the curve $y=e^x$ at $(0,1)$ is
Topic: AMU MCA 2017
Coefficient of variation of two distributions are $60$ and $70$ and their standard deviations are $21$ and $16$ respect…
Topic: AMU MCA 2017
The number of words with or without meaning which can be made using all the letters of the word AGAIN. If these words a…
Topic: AMU MCA 2017
The coefficients of three consecutive terms in the expansion of $(1+x)^n$ are in the ratio $1:7:42$, then the value of …
Topic: AMU MCA 2017
If the two positive numbers whose difference is $12$ and whose AM exceeds the GM by $2$, then the numbers are
Topic: AMU MCA 2017
A man repays a loan of ₹ $3250$ by paying ₹ $20$ in the first month and then increases the payment by ₹ $15$ every mont…
Topic: AMU MCA 2017
If the sum of $n$ terms of an AP is
$S_n=nR+\frac{1}{2}n(n-1)T$, where $R$ and $T$ are constants, then the common diffe…
Topic: AMU MCA 2017
The variance of $20$ observations is $5$. If each observation is multiplied by $2$, then the variance of the resulting …
Topic: AMU MCA 2017
The equation of the circle whose radius is $5$ and which touches the circle
$x^2+y^2-2x-4y-20=0$ externally at the poin…
Topic: AMU MCA 2017
The tangent of the angle between the lines whose intercepts on the axes are respectively $a,-b$ and $b,-a$ is
Topic: AMU MCA 2017
Next 10 Questions — AMU MCA 2017
Ascending by ID
1
2
3
4
5
6
7
8
9
10
If $A$ is an orthogonal matrix, then
Topic: AMU MCA 2017
The area bounded by the curve $y=2x-x^2$ and the straight line $y=-x$ is
Topic: AMU MCA 2017
Let $g(x)$ be the inverse of an invertible function $f(x)$ which is differentiable at $x=c$, then $g'(f(c))$ equals
Topic: AMU MCA 2017
If $A$ and $B$ are two events associated to some experiment $E$ such that $P(A)=0.5,\ P(B)=0.4,\ P(A\cap B)=0.3$, then …
Topic: AMU MCA 2017
If $X$ follows a binomial distribution with parameters $n=100,\ p=\frac{1}{3}$, then $P(X=r)$ is maximum, when $r$ is e…
Topic: AMU MCA 2017
The most correct statement is
Topic: AMU MCA 2017
The shortest distance between the lines
$\vec r=(4\hat i-\hat j)+\lambda(\hat i+2\hat j-3\hat k)$
and
$\vec r=(\hat i-\…
Topic: AMU MCA 2017
If the sum of two unit vectors is again a unit vector, then magnitude of their difference is
Topic: AMU MCA 2017
Let $A$ and $B$ be two points with position vectors $\vec a$ and $\vec b$ respectively and let $C$ be a point dividing …
Topic: AMU MCA 2017
The integrating factor of the D.E.
$(x\log x)\frac{dy}{dx}+y=2\log x$ is
Topic: AMU MCA 2017
