Question # 1

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logp - logq

logp + logq

logq - logp

The right bisector of the sides of a triangle intersect each other on the hypotenouse:

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Acute angled

Right angled

Obtuse angled

None of these

A triangle having all sides different is called:

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None of these

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3-by 2

2-by-3

1-by-3

3-by-1

Set of Rational numbers in set builder notation:

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None of these

HCF of a²-b² and a³-b³ is:

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a-b

a+b

a²=ab+b²

a²-ab+b²

Diagonals of a rectangle are:

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Equal

Congruent

Opposite

None of these

Unit of ratio:

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m/s

km/s

None of these

If a:b=c:d then a,b,c and d are said to be in:

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Proportion

Ratio

Equal

Unequal

A point equidistant from the end points of a line-segment is on its___________:

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Bisector

Right-bisector

Perpendicular

Median

Coordinate geometry is the study of ____________ shapes in Cartesian plane:

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Cuboid

Cubic

Geometrical

Spherical

In which quadrant only tanθ and cotθ are positive.

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I

II

III

IV

The tangent and radius of a circle at the point of contact are _________:

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Parallel

Not perpendicular

Perpendicular

None of these

A line intersecting a circle is called:

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Tangent

Secant

Chord

Point (-1,4) lies in quadrant:

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I

II

III

IV

A Deviation is defined as a difference of any value of the variable from a:

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Constant

Histogram

Sum

The lengths of two transverse tangents to a pair of circles are:

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Unequal

Equal

Overlapping

median from the data 82,93,86,92 and 79 is.................

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82

86

92

93

If number of elements in se A is 3 and in set B is 2, then number or binary relations in A x B is.

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3

4

7

12

A set Q = {a/b} a, b∈ Z ^ b≠ 0} is called a set of.

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Whole numbers

Natural number

Irrational numbers

Rational numbers

Two tangents drawn to a circle from a point outside it are of _________ in length

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Half

Equal

Double

Triple

In a : b : : b : c, b is called:

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Meanproportional

Thirdproportional

Continuedproportional

Fourthproportional

If A is non singular matrix then A^t is:

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singular

nonsingular

symmetric

none

If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is:

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0

1

-1

±1

sin (α - ß) =

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1

-5

-1

none

How many complex cube roots of unity are there:

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2

0

1

3

2 sin α cos ß =

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sin (α + ß) - sin (α - ß)

cos (α + ß) + cos (α - ß)

sin (α + ß) + sin (α - ß)

cos (α + ß) - cos (α - ß)

In a right isoceles triangle, one acute angle is:

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30°

45°

60°

75°

A numbers exceeds its square root by 6, the number is:

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6

3

9

none of these

The value of ⁵C₂ is:

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1

10

20

30

If the sum of the roots of the equation kx² - 2x + 2k = 0 is equal to their product, then the value of k is:

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1

2

3

4

cos(tan^-1∞) =

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0

∞

1

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4, -4

0

2, -2

0, 4

y = mx + c is the equation of straight line in:

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Slope-intercept form

Two points from

Point slope form

Intercepts form

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There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

The area A of a circle as a function of its circumference C is:

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x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

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0

2

3

1

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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sinh x

cosh x

-sinh x

-cosh x