Question # 1

The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

If p and q are two statements then their biconditional 'p if q' is denoted by

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none of these

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

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Boundary

Inequality

Half plane

Vertex

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

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1

2

3/2

5/2

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

The coefficient of the second term of (a+b)⁴ is

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1

9

3

5

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none of these

If 4 > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

None of above

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-1

0

1

Undefined

In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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Addition

Multiplication

Division

Both addition and multiplication

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l²+ m²+ n²= 0

l²- m²+ n²= 1

l²+ m²+ n²= 1

l²+ m²- n²= 0

If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

If x²- 7x + a has remainder 1 when divided by x + 1, then a = ______

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-7

7

0

None of these

If A is a non singular matrix then A^-1= ______

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The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

Name the property used in 1000 x 1 = 1000

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additive inverse

multiplicative inverse

additive identity

multiplicative identity

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

The standard form of the quadratic function f(x) = -x² +4x+2, is

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(x-2)²+6

-(x-2)² + 6

(x-3)²+5

(x+4)²-7

The number of the diagonals of a 6 sided figure is

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15

21

9

6

Tan 2θ=

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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

Range if y = cos x is

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-1≤ y≤ 1

-1 < y < 1

-∞ < x < +∞

None of these

The direction cosines of a line equally inclined with co-ordinate axes are

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What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

Distance between A(3, 8), B(5, 6) is

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