Question # 1

The symbol of parallelogram is:

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||

||^gm

gm||

A triangle having no sides equal is called ________:

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Scalene

Equilateral

Isoceles

None of these

Distance between points (0,0) and (1,1) is:

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0

1

2

Right angle means angle measures:

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30°

60°

90°

120°

LCM of a²+b² and a⁴-b⁴ is:

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a²+b²

a²-b²

a⁴-b⁴

a-b

A matrix is called ______ matrix, if its number of rows is equal to its number of columns:

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Rectangular

Row

Column

Square

Every diagonal of a parallelogram divides it in _______ congruent triangles ____:

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Two

Three

Four

Five

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3-by-2

2-by-3

1-by-3

3-by-1

If two sides of a triangle are congruent, then angles opposite to them are:

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Equal

Unequal

Congruent

Concurrent

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Congruent figures are ________ in area:

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Same

Different

Empty

None of these

Sum of the deviations of values x from its mean is always ''i.e ∑(x-x̅)’is to equal:

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itself

zero

median

mode

If the distance between the centres of two circles is equal to the sum of their radii, then the circles will:

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Intersect

Do not intersect

Touch each other externally

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115'

135°

150°

30°

Which of the following is true?

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W⊆ N

Z ⊆ W

N ⊆ P

P ⊆ W

The straight line joining any two points of the circumference is called:

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Segment of circle

Arcof circle

Chordof circle

Tangentof circle

The mode in the data 1,3,5,3,7,9

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1

3

5

7

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Proper fraction

Improper fraction

Irrational fraction

Rational fraction

Roots of the equation 4x²-5x+2=0 are:

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Irrational

Imaginary

Rational

None of these

In a class of frequency distribution 14 - 18, the 18 is:

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Upper class limit

Lower class limit

Class interval

All of these

The distance of a point outside the circle from its centre is _________ than the radius:

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Less

Equal

Greater

None of these

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quadratic equation

reciprocal equation

exponential equation

none of these

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2

4

6

8

If z = x + i y = r (cos Θ + i sin Θ), then arg z is:

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tan Θ

cos²Θ + sin²Θ

r

Θ

Probability of an impossible event is:

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0

1

-1

∞

r r₁ r₂ r₃ =

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abc

In 2s = a + b + , then in any triangle ABC:

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all of above

If the matrices A & B have the orders 2×3 and 5×2 then order BA is:

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3×5

5×2

2×2

none

Modulus of 15 i + 20 is:

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20

15

25

none of the above

tan(π + tan^-1x ) =

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x

π+x

π-x

none of these

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For a square matrix A, |A| equals:

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A^t

|A^t|

-|A^t|

-A^t

For a square of side x units, the rate of change of area with respect to the side is given by:

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x

x²

2x

2

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

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Maximum solution

Optimal solution

Minimum solutions

None of these

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

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equal to each other

not equal to each

nearly equal to each other

none of these

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

cosh^-1x =

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0

1

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

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Constant

Implicit

Identity

Inverse