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If $y=x^{n}$4 then dy/dx equals:

NETNUST Entry TestMathematicsDifferentiation

$\lim_{\delta x \rightarrow 0}\frac{f(3+\delta x)-f(3)}{\delta x}$ equals:

NETNUST Entry TestMathematicsDifferentiation

If $x\:\epsilon\:D_{f}$ and f'(x) exists, then f is said to be:

NETNUST Entry TestMathematicsDifferentiation

$\lim_{\delta x \rightarrow 0}\frac{f(x+\delta x)-f(x)}{\delta x}$ equals:

NETNUST Entry TestMathematicsDifferentiation

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:

NETNUST Entry TestMathematicsDifferentiation

Which of the following conic has an eccentricity $0<e<1$?

NETNUST Entry TestMathematicsConic Sections

Eccentricity of the Earth is

NETNUST Entry TestMathematicsConic Sections

Which of the following conic has an eccentricity equal to 1.

NETNUST Entry TestMathematicsConic Sections

At how many maximum points can two different conics intersect.

NETNUST Entry TestMathematicsConic Sections

Find the focus of the parabola $y^{2}=4x$

NETNUST Entry TestMathematicsConic Sections

When both nappes of a double-napped cone are intersected by a plane (not passing through the vertex), the cross section produces

NETNUST Entry TestMathematicsConic Sections

Find the equation of the asymptotes of the hyperbola $\frac {(y+2)^{2}}{16}-\frac {(x-2)^{2}}{9}=1$

NETNUST Entry TestMathematicsConic Sections

Find the eccentricity of the hyperbola $\frac{x^{2}}{4}-\frac{y^{2}}{9}=1$

NETNUST Entry TestMathematicsConic Sections

Find the vertex of the parabola $(x-2)^{2} = 4(y+2)$

NETNUST Entry TestMathematicsConic Sections

Which of the following is a special form of ellipse when minor and major axes are equal.

NETNUST Entry TestMathematicsConic Sections

If the plane passes through the vertex of a cone, the intersection results in

NETNUST Entry TestMathematicsConic Sections

Which of the following is the equation of a parabola which is symmetric about y-axis.

NETNUST Entry TestMathematicsConic Sections

In the circle $x^{2}+y^{2}=25$ , where does the point $(5,5)$ lie?

NETNUST Entry TestMathematicsConic Sections

Which of the following are the parametric equations of a hyperbola

NETNUST Entry TestMathematicsConic Sections

If a plane intersecting the cone is parallel to the base circles, the resulting conic is

NETNUST Entry TestMathematicsConic Sections

A hyperbola has

NETNUST Entry TestMathematicsConic Sections

In an ellipse, the line through the focus and perpendicular to the major axis ending at the ellipse is called?

NETNUST Entry TestMathematicsConic Sections

Hyperbola is symmetric with respect to

NETNUST Entry TestMathematicsConic Sections

A tangent is drawn at any point of hyperbola. What will be the product of distances of it from the foci?

NETNUST Entry TestMathematicsConic Sections

Which of the following equation represents a hyperbola?

NETNUST Entry TestMathematicsConic Sections