Question # 1

The line l is horizontal if

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m is undefined

m=0

m=1

m=0-1

cos2a=______;

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cos2 a-sin2 a

2cos2 a-1

1-2 sin2 a

All of these

If z = (x,y) , then z ̅ =

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(-x,y)

(x,-y)

(-x, -y)

None of these

The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

The obtuse angle between lines = -2 and y = x +2 is

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120°

135°

150°

140°

A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

The set of complex numbers forms a group under the binary operation of

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Addition

none of these

Division

Subtraction

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

The range of the tangent function is

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all real numbers

-1 ≤ x ≥ 1

natural number

z⁺

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is:

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an ellipse

a circle

a parabols

a hyperbola

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If p and q are two statements then their conjunction is denoted by

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Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

The synthetic division method is only used to divide a polynomial by

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quadratic equation

binomial

linear equation

monomial

Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

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The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

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0

1

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n!

0!

1

None of these

For all points (x,y) on x-axis

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x is positive

x is negative

y = 0

y is negative

If f(x) = x²then f(2) is

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-2

2

4

-4

If S = {3,6,9,12.......}, then

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

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At

-A

A

A-1

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Reciprocal equation

Exponential equation

Radical equation

None of these

The coefficient of x¹⁸ in (ax⁴-bx)⁹ after expansion is

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

To each element of a group there corresponds ............. inverse element

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Two

One

No

Three

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

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36 square units

3 square units

6 square units

18 square units

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