Question # 1

If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is

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x- y= 5

x+ y+ =5

x+ y= -5

5x +5y =21

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

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x = 0

y = 0

x = a

y = 0

Tan 360° = _______

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-1

0

1

Undefined

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-1

0

1

None of these

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Which of the following is skew symmetric matrix

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The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

The positive real number which is the measure of the length of a vector is called the

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Unit vector

Modulus

Inverse

None of these

x³+ 2x²- 3x + 5 is ______

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An equation

A polynomial

Proper rational fractions

Improper rational fractions

2x³+ 3x + 9 is a ______

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Polynomial of degree 3

Quadratic equation

Cubic equation

Polynomial of degree 2

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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none of these

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A triangle has six

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side

elements

angle

tangents

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Always negative

Zero

Always positive

Infinity

sin -1(sin2π/3) =

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π/2

2π/3

-3π/2

π/3

The term involving x⁴ in the expansion (3-2x) is

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217x⁴

15120x⁴

313x⁴

-25x⁴

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

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Constant function

Variable value

Function of upper limit

All

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The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

If |a x b|2 + (a,b)2 = _____

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|a|2 + |b|2

|a|2- |b|2

|a|2|b|2

None

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

Three points whose position vector a,b,c are collinear

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axb +b x c+ c x a = 0

a,b +b,c +c,a =0

a,|a xc| =0

a+b+c =0

If z = (x,y) , then z ̅ =

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(-x,y)

(x,-y)

(-x, -y)

None of these

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

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Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

A second degree equation in which coefficients of x²and y²are equal and there is no product therm xy represents:

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a parabola

a circle

an ellipse

a pair of lines

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

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