Condition that the plane $lx + my + nz = p$ should touch the ellipsoid $\frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1$ is:
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In simple random sampling without replacement, the probability that a specified unit of the population will be included…
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The equation $yz + zx + xy = 0$ represents:
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Simpson’s one-third rule for evaluation of $\int_a^b f(x),dx$ requires the interval $[a,b]$ to be divided into:
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The Newton–Raphson method converges fast, if $f'(\alpha)$ is:
($\alpha$ is the exact value of the root)
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Optimal value of the following LPP:Max $z = 2x_1 + 3x_2$Subject to $6x_1 + 5x_2 \le 25$ …
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Three identical fair dice are thrown independently. Let $Y$ denote the number of dice showing even numbers on their upp…
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The intrinsic equation of the catenary $y = C \cosh \frac{x}{C}$ is:
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Let $f(x,y) = \sqrt{|xy|}$, then the value of $f_x(0,0)$ and $f_y(0,0)$ is:
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The function $f(x,y) = 2x^4 - 3x^2y + y^2$ has:
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Which of the following memory allocation function changes the pre-allocated memory space in C?
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The following system of equations:$2x_1 + x_2 - x_3 = 2$$3x_1 + 2x_2 + x_3 = 3$has:
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Number of arbitrary constants in the equation of a cone is:
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A discrete random variable follows Poisson distribution with parameter $3$. The value of $E(X-6)^2$ is:
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Let $X$ be a random variable having distribution function $F(x)$. Then which of the following statements may not be tru…
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Which of the following statements is not true?
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Let $X$ be a continuous random variable such that $E|X| < \infty$ and
$P\left(X \ge \frac12 + x\right) = P\left(X \le …
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A discrete random variable $X$ taking non-negative values has the following moment generating function
$M_X(t) = e^{2(…
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Max $z = 6x_1 - x_2$Subject to$2x_1 - x_2 \le 2$$x_1 \le 3$$x_1, x_2 \ge 0$The above LPP has:
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The Laplace transform of $\sin \sqrt{x}$ is:
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The solution of the differential equation
$y\sin 2x,dx - (y^2 + \cos^2 x),dy = 0$ is:
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