Question # 1

If n is any positive integer then 2ⁿ> 2(n + 1) is true for all

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For different values of k equation 4x+5y =k represents

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Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

√x = ______ if is a prime number

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Rational no

Natural no

Irrational no

Complex no

AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angleβat P. If AP : AB = 2 : 1 thenβ=

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The square root of 2i - 20i is

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±(5 - 2i)

±(5+ 2i)

(5 - 2i)

None of these

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

The constant distance of all points of the circle from its centre is called the

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Radius of the circle

Secant of the circle

Chord of the circle

Diameter of the circle

If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is

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x- y= 5

x+ y+ =5

x+ y= -5

5x +5y =21

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

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Fractinal numbers

Rational Numbers

Even Numbers

Whole Numbers

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2

-1

8

not defined

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

The function sine and Cosine have the closed internal as their range

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[1, 0]

[-1, 1]

[0, 1]

[-1, 2]

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

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1 x 1

1 x 10

10 x 10

10 x 1

The parametric equation of a curve are x = t², y = t³then

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The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is

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The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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Orthogonal

Involutary

Idempotent

Nilpotent

The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is

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70 m

85 m

35 m

None of these

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all

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

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The law of sines

The law of tangents

The pythagorus theorem

None of these

The first three terms in the expansion of (1 + x)³are

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1 + 3x +6x²

1- 3x + 6x²\

-3 -3x -6x²

1- 3x -6x²

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the curve of the parabola y² = -4ax is symmetric with respect to

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x -axis

y - axis

Botha x and y- axis

None of thes

i =

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√1

√2

√-2

√-1

The square of the distance between two points P(x₁, y₁) and Q(x₂, y₂) is

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A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

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k3

0

3k

k6

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