Question # 1

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

The minimum value of the quadratic function f(x) = 5 x 2-11,is

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7

-7

6

-11

The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

tanθ/2

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The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

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14

2

-2

11

What is the period of tan 4/3 x =?

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π/4

4π/3

7π/4

3π/4

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none of these

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none of these

The value of cos(cos-1 1/2) is

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1/2

√3/2

-1/2

1/√2

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

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(a+bi) - (c+di)=

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(a+b) = (c+d)

(a+c) + i(b+d)

(a - c) + (c- d)i

(a - c)+ (b - d)i

Vector additon is:

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Commutative

Associative

Commutative and Associative

None of these

Q∪ Q' =

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Q

Q'

N

R

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If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:

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y² = -4 ax

x² = 4ay

x² = -4ay

y² = 4ax

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

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The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

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none of these

Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

x³+ 2x²- 3x + 5 is ______

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An equation

A polynomial

Proper rational fractions

Improper rational fractions

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

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2

-5

-3

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

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2x cos x2

-2xcosxsinx

2x Sin x2

-Sin x2

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cos 2α=

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1 - 2 sin²α

sin ²α+ cos²β

sin²α- cos²β

None of these

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is

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70 m

85 m

35 m

None of these

A key ring is an example of

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Permutation

Circular permutation

Combination

None

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

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