Question # 1

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The graph of y> 0 is the upper - half of:

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y-axis

x-axis

1st and 4th quandrant

2nd and 3rd quadrant

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

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One-to-one and onto

One-to-one but not on to

Onto but not one-to-one

Neither one-to-one nor onto

A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is

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(11/16)²

(5/16)²

(11/16)⁴

(5/16)⁴

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

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Constant function

Variable value

Function of upper limit

All

The set of rational number is represented by

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W

R

Q'

Q

The circle (x - 2)²+ (y + 3)²= 4 is not concentric with the circle

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(x - 2)²+ (y + 3)²= 9

(x + 2)²+ (y - 3)²= 4

(x + 2)²+ (y - 3)²= 8

(x - 2)²+ (y + 3)²= 5

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1

-1

The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

A polynomial of arbitrary degree

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f(x) = o

f(x) = x

f(x) = a

f(x) = ax + b,a ≠ 0

The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

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(1,1)

(0,1)

(1,0)

(0,0)

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perpendicular vectors

parallel vectors

concurrent vectors

none of these

Let A and B be two sets. If every element of A is also an element of B then

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Domain of cos x is ______

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Sine rule for a triangle states that

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a/sin A = b/sin B = c/sin C

sin A/a = sin B/b = sin C/c

a/sin A + b/sin B + c/sin C

2a/sin A = 2b/sin B = 2c/sin C

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

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0

-25

5

45

The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

If the radius of a circle is increased by 1 then area of circle will be

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π r2

π(r+1)2

π r2 +1

2π (r+1)

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

For the equation |x²| + |x| -6 =0, the roots are

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One and only one real number

Real with sum one

Real with sum zero

Real with product zero

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A is proper subset of B

A is an improper subset of B

A is equivalent to B

B is subset of A

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

The range of the principle cos function is

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sin(a + β)+sin(a -β) =_____;

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2cosa cosβ

2sina cosβ

2cosa sinβ

-2sina sinβ

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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If f(x) = x²then f(0) is

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0

1

2

none of these

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is

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(√6,1)

(2,3)

(7,-2√6)

(4,-√6)

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