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

The set of rationals numbers between 0 and I is

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Finite

Null set

Infinite

None of these

cos 3a =_______;

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3sin a - 4sin3 a

4sin a - 3sin3 a

3cos3 a - 4cos a

4cos3a - 3cos a

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

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none of these

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

i¹⁰¹ =

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i

i²

-i

-1

There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?

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10

66

71

106

A non-terminating non_recurring decimal represents an

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Irrational no

Both a & c

Rational no

None of these

θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

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1

-1

-1/2

1/2

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quadratic function

constant function

linear function

exponential function

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A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?

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460

495

272

60

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

Find a if 1 is a root of the equation x²+ ax + 2 = 0

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3

-3

2

0

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

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2C

C³

1

0

x = ________ is in the solution of 2x - 5 > 0

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0

2

-2

3

The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

0

Does not exist

If the distance of any point on the curve from any of the two lines approaches zero then it is called

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Axis

Directrices

Asymptotes

None

The exact value of cos^-1 (-1) + cos^-1(1) =

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π

-π

π/2

π/3

If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is

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a cosec(ax + b) + c

- a cosec(ax + b) + c

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