Question # 1

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

A circle passing through the vertices of any triangle is called ______

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In circle

Circum circle

Escribed circle

None of these

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sin x + c

-sin x + c

cos x + c

-cos x + c

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N

r

2r

π

The point (x₁, y₁) lies outside the circle x²+ y²+ 2gx + 2fy + c =0 if

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p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

Roots of the equation x²+ 5x - 1 = 0 are

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Rational

Irrational

Complex

None of these

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

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w⁷³= ______

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0

1

w

w²

Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

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0

2

4/3

5/3

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A line joining two distinct points on a parabola is called

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Axis

Directrix

Chord

Tangent

Range of cosθis

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If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (2,1) then

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d₁= d₂

d₁<d₂

d_1>d₂

none of these

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

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No solution

One real solution

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If x³+ 4x³- 2x +5 is divided by x - 1, then the reminder is

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8

6

4

None of these

The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)

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Right triangle

Equilateral triangle

Isosceles triangle

Scalene triangle

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Identity matrix

Diagonal matrix

Null matrix

Hermitian matrix

Sin -1 x=

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sin(π/2-x)

Sin-1 (π/2-x)

π/2-cos-1x

π/2 + cos-1x

π is ______

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A complex number

A rational number

A natural number

An irrational number

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

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A

A'

U

None of these

∫Sec² (ax + b) dx is equal to:

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tan² (ax + b)

1/a tan² (ax + b)

1/atan (ax +b)

tan (ax + b)

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