Question # 1

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4x + 1

4x

2x³

none of these

If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)

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f

1

C

0

The different of tan x is

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sec2 x

ln |sec x|

sec2 xdx

-cos ec2 x

If y=f(x) is a function then x is called

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dependent variable

independent variable

constant

none of these

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0

1

-1

undefined

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

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A parabola

An ellipse

A hyperbola

A circle

graph of sine function is bounded between lines

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y± 1 = 0

x± 1 = 0

x± y - 0

None of these

What is the period of tan 4/3 x =?

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π/4

4π/3

7π/4

3π/4

The roots of the equation 2^2x- 10.2^x+ 16 = 0 are

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2, 8

1, 3

1, 8

2, 3

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

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The domain the function : f(x) = x² is given by

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R

Set of all non-negative Real numbers

R^-1

None of these

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a tan(ax + b) + c

- a tan(ax + b) + c

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none of these

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Conclusion

Implication

Antecedent

Hypothesis

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(x³- 3x²)⁸+ c

3x²- 6x + c

The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

If a₁, r and a_nare the first term, common ratio and the nth term respectively of a G. P. then a_n=

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a₁rⁿ

a₁r^n-1

a₁rⁿ⁺¹

a₁r

If A = |aij| is (m x n) matrix then transpose of A is of the order

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m x m

m x n

n x n

n x m

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The parabola y2 + 2y + x = 0 lie in _____ quadrant.

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First

Second

Third

Fourth

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