Question # 1

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

If S is a sample space and event set E = S then P(E) is

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>0

1

<1

0

The number of real tangents that can be drawn to the ellipse 3x²+ 5y²= 32 passing thro. (3, 5) is

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0

1

2

Infinite

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0

1

undefined

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cos 2x

2 cos 2x

2 sin2x

-2 cos2x

The sum of an indicated number of terms in a sequence is called

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sequence

progression

Series

Mean

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For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

f(x) = C is

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identity function

constant function

linear function

quadratic function

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 multiplicative inverse of 4 is

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-4

-1/4

1/4

1

x²+ x - 6 = 0 is

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An equation

An identity

A polynomial

None of these

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

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None of these

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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Symmetric property

Cancellation property w.r.t multiplication

Reflexive property

Transitive property

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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parabola

circle

hyperbola

ellipse

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

(ABC)' =

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CBA'

CBA

C' B' A'

None of these

InΔABC if y = 90° then the Pythagoras theorem is

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b2 + c2 =a2

a2 + b2 = c2

a2 +c2 = b2

None of these

If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

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If n is any positive integer then n²> n + 3 for

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The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if

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c = 0

c = 0,b≠ 0

b = 0,c = 0

b = 0,c≠ 0

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5x^{4 + c}

1/6 x⁶+ c

5x²+ c

1/5 x⁶+ c

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π/ 2

π/ 3

π/ 4

π

Name the property used in 100 + 0 = 100

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Additive inverse

Multiplicative inverse

Additive identity

Multiplicative identity

Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

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7 / 40

5 / 40

11 / 40

None of these

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