Question # 1

If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:

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10

5

0

20

tan 294° =______;

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tan 24°

-tan 24°

cot 24°

-cot 24°

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The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is

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θ = 30°

θ = 45°

θ = 60°

θ = 75°

For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

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If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to

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n!

ann!

0

an

The range of the principal sine function is

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The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

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-2

-1

0

2

The distance of the point (2, -3) from x-axis is

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-2

-3

2

3

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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A prime number can be a factor of a square only if it occurs in the square at least

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Once

Thirce

Twice

None of these

Range of secθis

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Z - {x | -1 < x < 1}

W - {x | -1 < x < 1}

R - {x | -1 < x < 1}

R

In set builder notation the set {0,1,2,........100} can be written as

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{x / xε B ∧ x ≤ 100}

{x / x ∈ W ∧ x < 101}

{x / x ∈ Z ∧ x < 101}

The set of first 100 whole numbers

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

f(x) = 3x⁴ -2x² + 7 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

The set (Z,+) forms a group

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Forms a group w.r.t addition

Non commutative group w.r.t multiplication

Forms a group w.r.t multiplication

Doesn't form a group

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

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A.P.

G. P.

H. P.

None of these

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a²b²c²

4a²b²c²

4abc

None

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The solution set of trigonometric equation contains

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one element

two elements

three elements

Infinite elements

The roots of the equation ax²+ bx + c = 0 are real and equal if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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-1

0

1

None of these

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

If the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

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0.4cm

8.8πcm

17.6 πcm

35.2πcm

The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

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