Question # 1

Range if y = cos x is

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-1≤ y≤ 1

-1 < y < 1

-∞ < x < +∞

None of these

If a > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

A square is inscribed in the circle x²+ y²- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is

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Which of the following sets has closure property w.r.t. addition

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{ 0 }

{ 1 }

{ 0, -1}

{ 1, -1}

If the st. line 3x + 4y = K touches the circle x²+ y²- 10x = 0 then the value of K is

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-1 or 20

-10 or 40

-2 or 20

2 or 20

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is

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y = x

y = x - 1

y = x + 1

For any integer k, wⁿ= ______ when n = 3k

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1

2

0

-4

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

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The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

In R, the multiplicative inverse of a is

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0

1

-a

1/a

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3

6

0

None of these

The tangents drawn from the point P to a circle are real and distinct if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

√-1 b=

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b

2

2b

None of these

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If f(x) = x²-x then f(1) is

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0

1

2

3

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Which conjunction is not true ?

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The total cost of 2 apples and 3 oranges is $1.70, which of the following is true

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The cost of one apple

The cost of one orange

Both have equal cost per item

Cost of each single item can not be determined

Sum of n terms of a geometric series if | r | < 1 is

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2x + 3y > 4 is a linear inequality in

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one variable

two variables

three variables

none of these

(a,0) x (c,0) =

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(0,ac)

(ac,0)

(0,0)

(a,c)

The domain of the function y = sin x , is

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-π/2≤ x≤ π/2

π/ ≤ x≤ π

-2π ≤ x≤ 2π

-1 ≤ x≤ 1

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

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2

3

5

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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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