Question # 1

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An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

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0

-4

none of these

sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

The fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

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1.2%

1.5%

0.16%

100.16%

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

The graph of y> 0 is the upper - half of:

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y-axis

x-axis

1st and 4th quandrant

2nd and 3rd quadrant

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If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

If the roots of ax²+ bx + c = 0 (a > 0) be greater than unity, then

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a + b + c = 0

a + b + c > 0

a + b + c < 0

None of these

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

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Angle of depression

Angle of elevation

Acute angle

Obtuse angle

The domain the function : f(x) = x² is given by

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R

Set of all non-negative Real numbers

R^-1

None of these

The parabola y2 + 2y + x = 0 lie in _____ quadrant.

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First

Second

Third

Fourth

Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is

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2 / 19

3 / 29

17 / 19

4 / 19

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15

9

7

8

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

None of these

In (x + iy) x is the known as

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Imaginary part of complex number

Real part of complex number

Complex number

None of above

∫ x cos dx is equal to :

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x cos x + sin x

cos x + x sin x

x cos x + x sin x

x sin x + cos x

Tan(α-β)=

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Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0

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a = -10,b=34

a=-5,b=3

a=5,b=3

a=10,b=34

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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

An open sentences formed by using the sign of equality '=' is called ______

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An identity

An equation

A polynomial

None of these

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