Question # 1

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0

U

u/2

log u

(a,0) x (c,0) =

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(0,ac)

(ac,0)

(0,0)

(a,c)

Range of tanθis

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Set of complex numbers

Set of real numbers

Set of odd numbers

Set of positive integers only

If f(√x)=sin x , then f′(x) =______;

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2xcosx2

cosx2

cos√x

None of these

A matrix in which the number of rows is equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

tan h x = _________

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

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image

pre-image

constant

none of these

Derivative of x³w.r.t x is

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0

1

3x²

x³

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A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

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In(x²- x + 1)⁴+ c

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none of these

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a^xIn a + c

a^x+ c

x a^x+ c

If all members of a sequence are real numbers then it is called

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A.P

Real Sequence

G.P

None of these

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2

4

8

16

120°=______

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Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

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

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A²

A³

A

None of above

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 meters away from the tree the angle of elevation becomes 30°. The breadth of the river is

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40 m

30 m

20 m

60 m

The next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

x = sin^-13, then the value of sin x is

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√(3/2)

3

Not possible

-1

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

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

an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

The period sin²θis

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π²

π

2π

π/2

Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

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