Question # 1

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The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

sin^-1 x =

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tan^-1 x

Cosec^-1 x

Cosec x

cosec^-1(1/x)

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Imaginary

Rational

Irrational

Real numbers

Cot 45° = ______

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A fraction in which the degree of the numerator is less than the degree of the denominator is called

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Polynomial

Equation

Proper fraction

Improper fraction

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

If y = 2x , then

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y1 -ln2y = 0

y2-(ln2)2 y = 0

y2-(ln2)y1 = 0

All are correct

Sum of first n terms of an arithmetic series is

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The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

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

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Period of cos x is _____

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The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

Period of 2 cos x is ______

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If f(x) = ax², and a>0, then the lowest point on the parabola is called.

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Vertex of parabola

Co-ordinates of parabola

Roots of the equation

Coefficient of the equation

When we expand (a + 2b)⁵then

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a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

The distance between the points (0 , 0) and (1, 2) is

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5

0

3

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Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

Which of the following integrals can be evaluated

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

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A²

A³

A

None of above

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

a >b, b >c ⇒a >c is a

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Multiplicative property

Additive property

Trichotomy property

Transitive property of inequality

If n is add the expansion (a + x)ⁿhas middle terms

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2

3

4

5

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