Given that the points $P(3,2,-4)$, $Q(5,4,-6)$ and $R(9,8,-10)$ are collinear, the ratio in which $Q$ divides $PR$ externally is
Previous 10 Questions — AMU MCA 2016
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The angle between the lines with direction ratios $(4,-3,5)$ and $(3,4,5)$ is
Topic: AMU MCA 2016
If origin is the centroid of a $\triangle PQR$ with vertices
$P(2a,2,6)$, $Q(-4,3b,-10)$ and $R(8,14,2c)$, then the val…
Topic: AMU MCA 2016
A line perpendicular to the line segment joining the points $(1,0)$ and $(2,3)$ divides it in the ratio $1:n$. The equa…
Topic: AMU MCA 2016
The directrix of the parabola $4y^2 + 12x - 12y + 39 = 0$ is
Topic: AMU MCA 2016
The two lines $ty = x + t^2$ and $y + tx = 2t + t^3$ intersect at the point lies on the curve whose equation is
Topic: AMU MCA 2016
The equation $x^2 + y^2 + 4x + 6y + 13 = 0$ represents
Topic: AMU MCA 2016
If $p$ and $q$ are the order and degree of the differential equation
$y \frac{dy}{dx} + x^3\left(\frac{d^2y}{dx^2}\rig…
Topic: AMU MCA 2016
The differential equation of all parabolas whose axis of symmetry is parallel to $X$-axis is of order
Topic: AMU MCA 2016
The value of $\lambda$ so that the vectors
$a = 2\hat{i} - \hat{j} + \hat{k}$, $b = \hat{i} + 2\hat{j} - 3\hat{k}$ and
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Topic: AMU MCA 2016
If $A$ and $B$ are independent events such that
$P(A^c \cap B)=\frac{2}{15}$ and $P(A \cap B^c)=\frac{1}{6}$, then $P(B…
Topic: AMU MCA 2016
Next 10 Questions — AMU MCA 2016
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The minimum value of $9^x + 9^{1-x}$, $x \in R$ is
Topic: AMU MCA 2016
The sum of $n$ terms of the series
$1^2 + (1^2+2^2) + (1^2+2^2+3^2) + \dots$ is
Topic: AMU MCA 2016
If $x^y = e^{x-y}$, then $\frac{dy}{dx}$ is equal to
Topic: AMU MCA 2016
If $x^2 + y^2 = t - \frac{1}{t}$ and $x^4 + y^4 = t^2 + \frac{1}{t^2}$, then $x^3 y \frac{dy}{dx}$ equals
Topic: AMU MCA 2016
If $\lim_{x\to 0} \frac{\log(3+x) - \log(3-x)}{x} = K$, then $K$ is
Topic: AMU MCA 2016
If $f(x)=\frac{x}{2}-1$, then on the interval $[0,\pi]$
Topic: AMU MCA 2016
If $y = \tan^{-1}(\sqrt{1+x^2} - x)$, then $\frac{dy}{dx}$ equals
Topic: AMU MCA 2016
If $y=\sec(\tan^{-1}x)$, then $\frac{dy}{dx}$ at $x=1$ is
Topic: AMU MCA 2016
The value of $\sum_{n=1}^{13}(i^n + i^{n+1})$, where $i=\sqrt{-1}$ equals
Topic: AMU MCA 2016
An electrician can be paid under two schemes:I. ₹600 and ₹50 per hourII. ₹170 per hourIf job takes $n$ hours, for which…
Topic: AMU MCA 2016
