In what direction is the derivative of $f(x,y)=x^2-xy+y^2$ at $P(1,-1)$ equal to zero?
Previous 10 Questions — AMU MCA 2022
Nearest first
1
2
3
4
5
6
7
8
9
10
The number of asymptotes of the curve $y^2=ax$ is
Topic: AMU MCA 2022
The asymptotes of $\dfrac{a^2}{x^2}+\dfrac{b^2}{y^2}=1$ are
Topic: AMU MCA 2022
$\lim_{x\to0}\dfrac{\sin x - x + \frac{x^3}{6}}{x^5}$ is equal to
Topic: AMU MCA 2022
Which of the following relations is not true (Symbols have their usual meanings)
Topic: AMU MCA 2022
The set $Z$ of all integers forms a group with respect to binary operation $$ defined by
$ab=a+b+1$, $\forall a,b \in Z…
Topic: AMU MCA 2022
The plane $ax+by+cz=0$ cuts the cone $yz+zx+xy=0$ in perpendicular lines if
Topic: AMU MCA 2022
If $\alpha, \beta, \gamma$ be the angles which a line subtends with the positive direction of coordinate axes, then
$\s…
Topic: AMU MCA 2022
A tie for leaving variables in simplex procedure implies
Topic: AMU MCA 2022
Thirty men and thirty women with knee pain were subjects in an experiment to determine the effectiveness of a new pain …
Topic: AMU MCA 2022
In an analysis of variance, one estimate of variance $(\sigma^2)$ is based upon the difference between the treatment me…
Topic: AMU MCA 2022
Next 10 Questions — AMU MCA 2022
Ascending by ID
1
2
3
4
5
6
7
8
9
10
The value of the integral
$I=\iint_R e^{x^2+y^2},dy,dx$
where $R$ is the semicircular region bounded by the $x$-axis a…
Topic: AMU MCA 2022
If $I=\oint_C e^x,dx+2y,dy-dz$,
where $C$ is the curve $x^2+y^2=4$ and $z=2$, then the value of $I$ is
Topic: AMU MCA 2022
If Laplace transform $L{F(x)}=\frac1{s}e^{-3s}$, then $L{e^{-x}F(3x)}$ is
Topic: AMU MCA 2022
Solution of differential equation
$y^2\log y = xy\frac{dy}{dx}+\left(\frac{dy}{dx}\right)^2$ is
Topic: AMU MCA 2022
The tangents at the extremities of a focal chord of a parabola intersect on the directrix at an angle
Topic: AMU MCA 2022
The equation $\dfrac{8}{r}=4-5\cos\theta$ represents
Topic: AMU MCA 2022
The condition that the line $\dfrac{x}{a}\cos\theta+\dfrac{y}{b}\sin\theta=1$ touches the circle $r=2c\cos\theta$ is
Topic: AMU MCA 2022
If the centre of mass of three particles of masses 10, 20 and 30 gram be at the point $(1,-2,3)$, where should a fourth…
Topic: AMU MCA 2022
A sphere of mass 0.5 kg and diameter 0.1 m rolls without slipping with a velocity of 0.2 m/s. The total energy of the s…
Topic: AMU MCA 2022
The origin of two frames of reference $S$ and $S'$ coincide initially. The frame $S'$ is moving with velocity $(2\mathb…
Topic: AMU MCA 2022
