Question # 1

∀x,y∈ R and x < 0, y < 0, which one is true

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xy < o

xy = o

xy > o

None of these

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the co-ordinate plane. Let d = distance between P and Q

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Domain of 2 cos x is ______

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[-2, 2]

R

Negative real numbers

None of these

The area bounded by y = x (x2 - 4) and below x - axis is

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4

0

-4

8

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Rational

Irrational

Non-real

Zero

The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is

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3

2

1

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11

61

1

tan h x = _________

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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

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A rational number

An irrational number

An odd number

A prime number

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

i²=

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1

2

-1

0

Which one is quadrantal angle

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8181710°

2345°

-8181180°

-2344°

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QUQ, =

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N

R

W

Z

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

Multiplicative inverse of 0 is

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0

1

±1

Does not exist

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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

The product of the four fourth roots of unity is

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0

1

-1

None of these

A conditional "if p then q" is denoted by

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

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sequence

progression

Series

Mean

The condition for ax2 + bx c to be expressed as the product of linear polynomials is

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b4 - 4ac =0

b4- 4ac ≥0

b4- 4ac <0

b4= 4ac

A chord passing through the centre of the circle is called

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the secant of the circle

the tangent of the circle

the arc of the circle

the diameter of the circle

In the interval 0≤ x ≤ π, the sine is

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Not a function

Not defined

Infinity

Not one-to-one function

At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

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90°

60°

30°

45°

If distance of (a,b) from origin is 5 then

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a²+ b²=5

a = 5

b = 5

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

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