Question # 1

Which of the following is a vector.

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energy

force

work

power

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

Which of the following statement is true?

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A set is a collection of non-empty object

A set is a collection of only numbers

a set is any collection of things

a set is well-defined collection of objects

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

The two parts into which 57 should be divided so that their product is 782 are

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43,14

34,23

33,24

44,13

If sin A = cos A, 0°<A<90° then A is equal to

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1

1/2

0

None of these

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

Ifᵨ> 1 , then the conic, is:

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Ellipse

Parabola

Hyperbola

None of these

Which of the following is a scalar.

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force

frequency

weight

acceleration

The distance of the point (2,3) from origin is

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5

2

3

If (x₁, y₁) and (x₂,y₂) are the end points of a diameter then the centre of the circle is

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A

-A

A^t

A^-

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The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

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2x - 3x + c

x²- 3x + c

Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

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none of these

The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is

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-i

2 + i

i

2 - i

cos (180° -θ)=

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sinθ

- cosθ

- sinθ

None of above

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

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Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

What is the axis of the parabola y²= 4ax?

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x = 0

y = 0

x = a

y = 0

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

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