Question # 1

The quadratic equation 8 sec²θ- 6 secθ+1 = 0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is

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(2, 0)

(3, 0)

(0, 3)

(3, 2)

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nCn-r is equal to

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n!

n-1Cr

nCr

None of these

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The next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

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If the roots of ax²+ b = 0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0, b > 0

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both a & c

What is the value of cos (cos-1 2) ?

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√2

1/2

undefine

0

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

None of these

The set {1, -1, 1, -1}, form a group under

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Addition

Multiplication

Subtraction

None

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-2x³

2x^-3

-2x^-3

2x³

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none of these

If a is any real number and a = a is called

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symmetric property

Trichotomy Properties

Transitive Property

Reflexive Properties

The set of all antiderivaties of f(= ∫f(x)dx) is the

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Definite integral

Indefinite integral

Integral

Area

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The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

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14

2

-2

11

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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1/x

-x

2x

0.5 x

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The law of sines

The law of consines

The law of tangents

None of these

The equation of the circle with centre (h, k) and radius r is

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(x+ h)²+ (y+ k)²= r²

(x+ h)²+ (y - k)²= r²

(x - h)²+ (y+ k)²= r²

(x - h)²+ (y - k)²= r²

The law of sines is

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

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0

1

2

4

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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