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If $y=x^{n}$4 then dy/dx equals:
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NUST Entry Test
Mathematics
Differentiation
$\lim_{\delta x \rightarrow 0}\frac{f(3+\delta x)-f(3)}{\delta x}$ equals:
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NUST Entry Test
Mathematics
Differentiation
If $x\:\epsilon\:D_{f}$ and f'(x) exists, then f is said to be:
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NUST Entry Test
Mathematics
Differentiation
$\lim_{\delta x \rightarrow 0}\frac{f(x+\delta x)-f(x)}{\delta x}$ equals:
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NUST Entry Test
Mathematics
Differentiation
Let f be a real valued function continuous in the interval $(x, x_{1}) \subseteq D_{f}$ ( the domain of f) , then $\frac{f(x_{1})-f(x)}{x_{1}-x}$ represents:
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NUST Entry Test
Mathematics
Differentiation
Which of the following conic has an eccentricity $0
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NUST Entry Test
Mathematics
Conic Sections
Eccentricity of the Earth is
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NUST Entry Test
Mathematics
Conic Sections
Which of the following conic has an eccentricity equal to 1.
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NUST Entry Test
Mathematics
Conic Sections
At how many maximum points can two different conics intersect.
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NUST Entry Test
Mathematics
Conic Sections
Find the focus of the parabola $y^{2}=4x$
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NUST Entry Test
Mathematics
Conic Sections
When both nappes of a double-napped cone are intersected by a plane (not passing through the vertex), the cross section produces
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NUST Entry Test
Mathematics
Conic Sections
Find the equation of the asymptotes of the hyperbola $\frac {(y+2)^{2}}{16}-\frac {(x-2)^{2}}{9}=1$
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NUST Entry Test
Mathematics
Conic Sections
Find the eccentricity of the hyperbola $\frac{x^{2}}{4}-\frac{y^{2}}{9}=1$
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NUST Entry Test
Mathematics
Conic Sections
Find the vertex of the parabola $(x-2)^{2} = 4(y+2)$
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NUST Entry Test
Mathematics
Conic Sections
Which of the following is a special form of ellipse when minor and major axes are equal.
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NUST Entry Test
Mathematics
Conic Sections
If the plane passes through the vertex of a cone, the intersection results in
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NUST Entry Test
Mathematics
Conic Sections
Which of the following is the equation of a parabola which is symmetric about y-axis.
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NUST Entry Test
Mathematics
Conic Sections
In the circle $x^{2}+y^{2}=25$ , where does the point $(5,5)$ lie?
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NUST Entry Test
Mathematics
Conic Sections
Which of the following are the parametric equations of a hyperbola
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NUST Entry Test
Mathematics
Conic Sections
If a plane intersecting the cone is parallel to the base circles, the resulting conic is
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NUST Entry Test
Mathematics
Conic Sections
A hyperbola has
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NUST Entry Test
Mathematics
Conic Sections
In an ellipse, the line through the focus and perpendicular to the major axis ending at the ellipse is called?
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NUST Entry Test
Mathematics
Conic Sections
Hyperbola is symmetric with respect to
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NUST Entry Test
Mathematics
Conic Sections
A tangent is drawn at any point of hyperbola. What will be the product of distances of it from the foci?
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NUST Entry Test
Mathematics
Conic Sections
Which of the following equation represents a hyperbola?
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NUST Entry Test
Mathematics
Conic Sections
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