Let $A$ and $B$ be two points with position vectors $\vec a$ and $\vec b$ respectively and let $C$ be a point dividing $AB$ internally and the position vector of $C$ on $AB$ is $\vec c=\lambda \vec a+\mu \vec b$, then
Previous 10 Questions — AMU MCA 2017
Nearest first
1
2
3
4
5
6
7
8
9
10
If the sum of two unit vectors is again a unit vector, then magnitude of their difference 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
The most correct statement is
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
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
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
The area bounded by the curve $y=2x-x^2$ and the straight line $y=-x$ is
Topic: AMU MCA 2017
If $A$ is an orthogonal matrix, then
Topic: AMU MCA 2017
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…
Topic: AMU MCA 2017
The equation of the normal to the curve $y=e^x$ at $(0,1)$ is
Topic: AMU MCA 2017
Next 10 Questions — AMU MCA 2017
Ascending by ID
1
2
3
4
5
6
7
8
9
10
The integrating factor of the D.E.
$(x\log x)\frac{dy}{dx}+y=2\log x$ is
Topic: AMU MCA 2017
The function $y=c_1\cos x+c_2\sin x$ is a solution of the D.E. where $c_1$ and $c_2$ are real numbers
Topic: AMU MCA 2017
The general solution of differential equation
$\frac{dy}{dx}+2xy=2e^{-x^2}$ is
Topic: AMU MCA 2017
$\int_{1}^{\sqrt{3}} \frac{dx}{1+x^2}$ equals
Topic: AMU MCA 2017
$\int \frac{\sin^2 x - \cos^2 x}{\sin^2 x \cos^2 x} dx$ is equal to
Topic: AMU MCA 2017
The integral $\int e^x (1+\tan x)\sec x , dx$ equals
Topic: AMU MCA 2017
The area of the region bounded by the two parabolas $y=x^2$ and $y=x$ is
Topic: AMU MCA 2017
Differentiate y = sin⁻¹((1 - x²)/(1 + x²)), 0 < x < 1 with respect to x.
Topic: AMU MCA 2017
The total revenue in rupees received from the sale of $x$ units of a product is given by $R(x)=5x^2+20x+7$. The margina…
Topic: AMU MCA 2017
If $y=e^{x}+e^{x+e^{x}}+e^{x+e^{x+e^{x}}}+\dots$, then $\frac{dy}{dx}$ is equal to
Topic: AMU MCA 2017
