Question # 1

cos (α+β) + cos (α-β) =

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4 cosαcosβ

2 cosαcosβ

2 sinαsinβ

2 sinαcosβ

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

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57𝜊

-48𝜊

27𝜊

53𝜊

The point of concurrency of the right bisectors of the sides of a triangle is called

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incentre

circum center

e-center

centroid

Ifα,βare the roots of ax²+ bx + c = 0 andα+ h,β+ h are the roots of px²+ qx + r=0, then h =

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The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

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E-radius corresponding to < A is

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0

1

undefined

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is

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If (2, 3) is the mid point of (a, 3) and (5, b) then

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a = 1 , b = -3

a = -1 , b = 3

a = 1 , b =3

a = -1 , b = -3

The third term in the expansion of (1+2x) is

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-2x2

-4x2

2x2

4x2

In quadratic equation y=ax³+bx+c, if b and c are both zero then the graph is

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Symmetric w.r.t.y-axis

Symmetric w.r.t.x-axis

Straight Line

Circle

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-1

0

1

Undefined

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

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(a + b)c = a . c + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b+ c) = ab + ac

A matrix in which the number of rows is not equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

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π is the ration of

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Area of a circle to its diameter

Area of a circle to its radius

Circumference of a circle to its diameter

Circumference of circle to its radius

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1

0

3

-1

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0

1

2

3

Co-ordinate of a point on the parabola y² = 8x whose focal distance is 4 are:

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(2 , 4)

(-2 ,-4)

(-2, 4)

(2,-4)

A quadratic equation in x is an equation that can be witten in the form

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ax²+ b = 0

ax³ +b²+c=0

ax² +bx+c=0

ax³ +bx³+cx=0

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An open sentence formed by using the sign of equality "=" is called

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Equation

In equation

True sentence

False sentence

What is the period of cos 6x =?

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π/2

π/3

π/4

π

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