Question # 1

If a,b,c are unit vectors then |a + b|2 +|a - b|2

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4

8ab

9cos

4(a,b)

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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

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The degree of differential equation is the power of the

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Lowest order derivative

Highest order derivative

Integral

All are correct

The identity element with respect to subtraction is

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0

-1

0 and 1

None of thes

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

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Every whole number is

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A real number

An irrational number

A prime number

A negative integer

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

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

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0

2

1

5

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A

A'

U

None of these

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cot x + c

tan x + c

-cot x + c

-tan x + c

The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is

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(0,0)

(1,1)

(2,2)

(3,3)

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Sum of first n terms of an arithmetic series is

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The positive real number which is the measure of the length of a vector is called the

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Unit vector

Modulus

Inverse

None of these

n(n - 1) (n - 2) in factorial form is

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The differential equation of all st. lines which are at a constant distance to form the origin is

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Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

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12

6

8

none of these

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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I quadrant

II quadrant

III quadrant

IV quadrant

Two tangents drawn from (2,3) to the circle x2+y2 =9 are

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Real and distinct

Imaginary

Real and coincident

None of these

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

What is the period of sin 2x/3 cos 4x=?

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π

2π

π/2

π/3

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