Question # 1

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Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

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-2x³

2x^-3

-2x^-3

2x³

If the roots of 3x2+kx + 12 = 0 are equal then k = ______

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2x

3x²

1

0

To express a single rational fraction as a sum of two or more single rational fractions which are called

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improper fractions

Partial fractions

mixed form

Polynomials

The condition for ax2 + bx c to be expressed as the product of linear polynomials is

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b4 - 4ac =0

b4- 4ac ≥0

b4- 4ac <0

b4= 4ac

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A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

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1/8

2/8

3/8

None of these

What is the circular measure of the angles between the hands of which at 4 o clock

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π/6

3π/2

π/4

2π/3

If x-2 and x-1 both are factors of x³-3x³+2x-4p, then P must equal to

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1

2

0

-2

A function f is said to be an even if f(-x) =

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0

1

f(x)

-f(x)

If a^x= b^y= c^zand a, b, c are in G.P. then x, y, z are in

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A.P.

G.P.

H.P.

None of these

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

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Null matrix

Triangular matrix

Unit matrix

Rectangular matrix

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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A dice is rolled. The probability that the dots on the top are greater than 4 is

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1/6

1/3

1/2

1

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

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Boundary

Inequality

Half plane

Vertex

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

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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I

|A|

|A| I

None of these

If cos^-1p + cos^-1q + cos^-1r =πthen p²+ q²+ r²+ 2pqr is equal to

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3

1

2

-1

If a,b c are sides of a triangle taken in order then a x b =

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b x c

b x a

cxa

Both a & b

What is the axis of the parabola y²= 4ax?

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x = 0

y = 0

x = a

y = 0

The value of n, when ⁿP₂= 20 is

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3

4

6

5

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An empty set

Universal set

A singleton set

None of these

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The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

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