Question # 1

An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

The area enclosed between the graph y = x²-4x and the x- axis is:

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20/3

41/3

32/3

25/3

A stationary point x is a relative exterma of y= f(x) is

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f′′ (x) > 0

f′′ (x) < 0

f′′ (x) ≠ 0

f′′(x) = 0

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z is purely imaginary

a is any complex number

z is real

None of these

A conditional "if p then q" is denoted by

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The equation of the circle witch centre (-3, 5) and radius 7 is

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(x-3)²+ (y+5)²= 7²

(x-3)²+ (y-5)²= 7²

(x+3)²+ (y+5)²= 7²

(x+3)²+ (y-5)²= 7²

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

If n is odd then the middle terms in the expansion of (a + x)ⁿare

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9

-9

0

1

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π/ 4

π/ 6

π/ 3

2π/ 3

If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

+-1

0

Area ofΔABC=

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ab sinα

1/2 ab sinα

1/2 ac sinγ

1/2 ac sinβ

The modulus of a vector i-i+ k is:

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√3

1

√2

∞

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The axis of the parabola x² = 4ay is:

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y = 0

x = 0

x = -a

y = a

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)

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

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c/a

-c/a

b/a

-b/a

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

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a chord passing through the focus of a parabola is called a:

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Focal chord

Latus rectum

Tangent

Directrix

The vector i = [1,0] is called unit vector along:

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x-axis

y - axis

z- axis

Botha a and y-axis

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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1⁰= ______

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1.5 rad

0.5 rad

0.175 rad

None of these

The direction cosines of any normal to the xy-plane are

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<1, 0, 0>

<0, 1, 0>

<1, 1, 0>

<0, 0, 1>

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a constant function

linear function

quadratic funtion

none of these

The point _________ is in the solution of the inequality 2x + 3y < 5

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(1,1)

(2,2)

(0,1)

(0,2)

ᵨ is a

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variable

Positive constant

Positive variable

Directrix

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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