Question # 1

The solution set of sin x + cos x = 0 is

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2x³+ 3x + 9 is a ______

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Polynomial of degree 3

Quadratic equation

Cubic equation

Polynomial of degree 2

The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is

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θ = 30°

θ = 45°

θ = 60°

θ = 75°

x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

For different values of k equation 4x+5y =k represents

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Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

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l²+ m²+ n²= 0

l²- m²+ n²= 1

l²+ m²+ n²= 1

l²+ m²- n²= 0

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2x + 3

x²+ 3 + c

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

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0

2

4

7

An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

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Period of 2 cos x is ______

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A square matrix A for which A^t= -A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

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0

-4

none of these

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0

-2

1

4

The points (x, y) which satisfy a linear inequality in two variables x and y from its

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domain

range

solution

none of these

The centre of the conic x2 +16x +4y2 -16y +76 =0 is

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(0,10)

(-8,4)

(-8,-2)

(1,1)

Another name of quadratic equation is

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Polynomial

2nd degree polynomial

Linear equation

simaltaneous equations

If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is:

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an ellipse

Circle

a hyperbola

a parabola

The modulus of a vector i-i+ k is:

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√3

1

√2

∞

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In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

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45

30

25

50

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n!

0!

1

None of these

For any two sets A and, A ⊆ B if

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x ∈ A ⇒ x ∈ B

x ∉ A ⇒ x ∉ B

x ∈ A ⇒ x ∉ B

None of these

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xy

y

0

x

The line through the focus and perpendicular to the directrix is called ______ of the parabola

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axis

focal chord

tangent

latus rectum

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

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