Question # 1

Domain of cosec x is ______

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The function sine and Cosine have the closed internal as their range

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[1, 0]

[-1, 1]

[0, 1]

[-1, 2]

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Evert element of A is in B

Every element of B is in A

Every element of A is in B'

Every element of A is in A

The domain of the principle sine function is

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Always negative

Zero

Always positive

Infinity

The first three terms in the expansion of (1 + x)³are

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1 + 3x +6x²

1- 3x + 6x²\

-3 -3x -6x²

1- 3x -6x²

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

For each even natural number n (n²-1) is divisible by

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6

3

4

8

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If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

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Associative property of addition

Associative property of multiplication

Commutative property of addition

Commutative property of multiplication

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11

61

1

For the parabola the line through focus and perpendicular to the directrix is called

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Tangent

Vertex

Axis

None

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The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is

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x+ y+ 1= 0

x+ y- 2= 0

x+ y+ 2= 0

2x +y +2 =0

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parallel vectors

perpendicular vectors

concurrent vectors

collinear vectors

For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

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The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

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(0, 2π)

(-π, -0)

(0,π)

None of these

The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is

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70 m

85 m

35 m

None of these

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(7, 9) + (3, -5) =

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(4, 4)

(10, 4)

(9, -5)

(7, 3)

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

sec (-360°) = ______

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0

1

2

3

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

Cos (cos4π/3)=

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π/2

π/3

2π/3

-π/3

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