Question # 1

The eccentricity e of an ellipse is always

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Rational

Real

Irrational

Integer

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f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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none of these

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

The additive inverse of 0 is

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1

-1

0

Does not exist

If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

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0

2

1

5

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3/8

7/8

1/8

None

cot(3π/2 -θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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

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3

1

2

-1

If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is

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x²+ Sx - P = 0

x²- Sx + P = 0

x²- Sx - P = 0

X²+ Sx + P = 0

The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is

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none of these

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

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Two similar regions

Two disjoint regions

Four equal parts

One region

If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is

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x- y= 5

x+ y+ =5

x+ y= -5

5x +5y =21

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In R, the multiplicative identity is

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0

1

-1

None

Cos-1 (-x) =

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-x

1/x

tan-1 x

π-cos-1 x

Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is

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General solution of tan 5θ= cot 2θis

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1

0

3

-1

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The first three terms in the expansion of (1 + x)³are

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1 + 3x +6x²

1- 3x + 6x²\

-3 -3x -6x²

1- 3x -6x²

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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Associative property of addition

Associative property of multiplication

Commutative property of addition

Commutative property of multiplication

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