Question # 1

If n is any positive integer then n²> n + 3 for

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The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is

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x²+ y²+ z²+ ax + by + cz = 0

x²+ y²+ z²- 2ax - 2 by - 2 cz = 0

x²+ y²+ z²= a + b + c

x²+ y²+ z²- ax - by - cz =0

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The equation of the circle witch centre (-3, 5) and radius 7 is

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(x-3)²+ (y+5)²= 7²

(x-3)²+ (y-5)²= 7²

(x+3)²+ (y+5)²= 7²

(x+3)²+ (y-5)²= 7²

The foot of perpendicular from (α,β,γ) only y-axis is

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(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

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A function in which the variable appears as exponent is called:

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An identity function

A logarithmic function

an exponential function

A rational function

The obtuse angle between lines = -2 and y = x +2 is

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120°

135°

150°

140°

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The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

A circle drawn inside a triangle and touching its sides is called

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In-circle

Circum circle

Escribed circle

None of these

In one hour, the hour hand of a clock turns through

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To express a single rational fraction as a sum of two or more single rational fractions which are called

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improper fractions

Partial fractions

mixed form

Polynomials

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a^x

a^xIn a

The minimum value of the quadratic function f(x) = x2 +6x -2, is

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11

6

-11

13

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A

B

A'B'

B'A

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At

-A

A

A-1

√2 is a number

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Rational

Irrational

Even

Odd

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

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1/2

√3/2

-1/2

1/√2

One root of the equation cos x - x + 1/2 = 0 lies in the interval

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Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

The sum of the coefficient in the expansion of (a + x)⁵is

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32

16

8

5

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

The slope of the normal at the point (at², 2at) of the parabola y²= 4ax is

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1/t

t

-t

-1/t

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The constant distance of all points of the circle from its centre is called the

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Radius of the circle

Secant of the circle

Chord of the circle

Diameter of the circle

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Natural numbers

Whole numbers

Integers

Rational numbers

The general solution of the differential equation x dy / dx = 1 + y is:

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2

1

3

None

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-10

10/7

-10/7

-7/10

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

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