Question # 1

Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

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Interesect

touch externally

touch internally

do not touch

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a = a

a < a

a > a

a²= a

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

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The physical quantity which possesses both magnitude and direction is called a

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scalar

vector

constant

none of these

What is the value of cos (cos-1 2) ?

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√2

1/2

undefine

0

The number of the diagonals of a 6 sided figure is

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15

21

9

6

(fog)′(x) =f′(g(x))g′(x) is derivative by

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Chain rule

Reciprocal rule

Power rule

Product rule

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

Which of the following is skew symmetric matrix

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The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

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Conclusion

Implication

Antecedent

Hypothesis

For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

Which of the following is a vector.

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work

time

density

electric field

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

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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0

1

1/2

Any recurring decimal represents a

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Irrational no

Integer

Rational no

None of these

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

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BA

A²

AB

B²

The radius of the circle x²+ y² - 6 x + 4 y +13 = 0 , is

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1

2

0

None of these

The law of sines is

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xy

y

0

x

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