Question # 1

The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

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π/2

-3π/2

π

None of these

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

The sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

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0

1

1/2

The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

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In common logarithm the base is

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1

0

10

e

sin(180° -θ)=

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cosθ

-cosθ

Tanθ

Sinθ

The equation x² + y² +2g +2fy + c =0 represents a circle whose centre is :

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(g,f)

(-g,-f)

(2g ,2f)

(-2f ,-2g)

The roots of the equations will be equal if b²- 4ac is

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Positive

Negative

1

Zero

Geometric mean between a and b is

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A circle passing through the vertices of any triangle is called

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Circumcirle

Incircle

Escribed circle

Unit circle

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t to adition

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If the roots of ax²- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is

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

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π

π/6

-π/2

2π

The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

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4

64

8

All values of k

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a sin(ax + b) + c

- a sin(ax + b) + c

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

The latus rectum of the ellipse 5x²+ 9y²= 45 is

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10 / 3

5 / 3

3 / 5

3 / 10

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

Tan 360° = _______

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-1

0

1

Undefined

The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3

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5,3

5,-3

5,0

10,0

Which of the following integrals can be evaluated

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(a^-1)^-1=

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a^-1

a

-a

None of above

Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

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Interesect

touch externally

touch internally

do not touch

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