Question # 1

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∫f(x) is known as:

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Definite itegral

Indefinite integral

Fixed integral

Multiple integral

(2, 1) is in the solution of the inequality

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is

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Obtuse

Acute

Right angle

Isosceles

If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is

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x- y= 5

x+ y+ =5

x+ y= -5

5x +5y =21

i³ =

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-1

i

-i

1

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The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

For any integer k, wⁿ= ______ when n = 3k

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1

2

0

-4

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1 + tan²x + c

tan x + c

-tan x + c

cot x + c

The integral of 3x⁵dx is:

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15 x⁴

x⁶/2

1/6x⁵

x⁵/ln3

If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:

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Parallel to each other

Perpendicular to each other

Inclined at 60^o

neither parallel nor perpendicular

The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

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60𝜊

40𝜊

41𝜊

30𝜊

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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The point of concurrency of the angle bisectors of a triangle is called

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incentre

circumcentre

e-centre

centroid

a.a^-1 = a^-1.a = 1 is a

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Commutative law of multiplication

Multiplicative identity

Associative law of multiplication

Multiplicative inverse

0! = ______

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0

1

2

Not defined

1.4142135... is ______

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A natural number

A rational number

A prime number

An irrational number

A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

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The period of the function csc x/4 us

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4x

π/4

8π

π/8

Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

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x = 3

x = 1/5

x = 0

None of these

Tan 2θ=

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The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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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

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a tan(ax + b) + c

- a tan(ax + b) + c

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