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 $P\left(\frac{A^c}{B^c}\right)$ is equal to
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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
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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…
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The equation of the normal to the curve $y=e^x$ at $(0,1)$ is
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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…
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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 …
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The integrating factor of the D.E.
$(x\log x)\frac{dy}{dx}+y=2\log x$ is
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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
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$\int \frac{\sin^2 x - \cos^2 x}{\sin^2 x \cos^2 x} dx$ is equal to
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