Question # 1

sin5θ+sin3θ = _______;

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2sin 4θ cosθ

2cos 4θ sinθ

2cos 4θ cosθ

-2sin 4θ sinθ

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A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t to adition

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

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Boundaries

Variable separable

Initial values

None

sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

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A point of a solution regions where two of its boundary lines intersect, is called:

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

3x + 4 < 0 is

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not inequality

equation

identity

inequality

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cos 315° = ______

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sin2 π/6 + sin2 π/3 + tan2 π/4 =______;

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1

2

3

4

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

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cos x

sec x tan x

sec²x

-cosec²x

The distance of the point (-2,3) from x-axis is

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-2

2

3

1

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none of these

If A = [a_ij] is (m x n) matrix, then transpose of A is of the order

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m x m

m x n

n x n

n x m

If Cosθ=0, thenθ= ______

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nπ/2

(2n + 1)π/2

(2n - 1)π/2

(4n + 1)π/2

The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is

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x²+ y²+ z²+ ax + by + cz = 0

x²+ y²+ z²- 2ax - 2 by - 2 cz = 0

x²+ y²+ z²= a + b + c

x²+ y²+ z²- ax - by - cz =0

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The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

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b = c

a = c

b = 0

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

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