Question # 1

The sum of co-efficient in (1+x-3x²)⁴¹⁶³is

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0

1

-1

None

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

If the angle between two vectors with magnitude 2 and 15 is 30°then their scalar product is

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15

30

cot(3π/2 -θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

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

If|a| =|b| = |a+b|=1, then|a-b| is equal to:

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1

√3

√2

7

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0

1

If f (x) is defined and continuous then f (x) is always

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Rational function

Trigonometric function

Logarithmic function

All are correct

If ∀a,b ε R,then a +b ε R is a property

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

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A

-A

A^t

A^-

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sec x tan x

-cosec x cot x

sec²x

-sin x

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If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____

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[a.b.c]

2[a,b,c]

[abc]-2

2[abc]2

Which of the following is an identity matrix?

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none of these

Domain of y = cot x = ______

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If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is

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8

12

10

14

sin(π/2+θ) = _______;

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sinθ

cosθ

-sinθ

-cosθ

The additive inverse of 2/3 is

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3/2

-2/3

-3/2

0

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2^x

2^xIn x

2^xIn 2

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

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The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

The parabolay2=4ax open up if

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a<0

a≠0

a>0

All are incorrect

Domain of sec x is ______

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If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:

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10

5

0

20

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Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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6x + 2 + c

6x + x²+ c

6x³+ x²+ x

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sin x + c

-sin x + c

cos x + c

-cos x + c

The set of rationals numbers between 0 and I is

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Finite

Null set

Infinite

None of these

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