Question # 1

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

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30°

45°

60°

90°

A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

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sec x tan x

sec²x

-sec x tan x

-sec²x

If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

Cosh² x + Sinh² x =

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Cosh x²

Cosh 2x

Sinh 2x

Tanh 2x

The equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

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28

29

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

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Maximum

Vertex

Minimum

Convex

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

The graph of linear equation of the form ax + by = c is a line, which divides the plane into ______ disjoint regions, where a, b and c are constants and a, b are not both zero.

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One

Two

Thre

None of these

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French

Every relation, which can be represented by a linear equation in two variables, represents a:

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Graph

Function

Cartesian product

Relation

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Common logarithmic

Natural logarthmic

Exponential

None of these

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