If a ray stands on a line, then the sum of two adjacent angle is 180°.

1.True

2.False

A line with two endpoints is called __________

1.line

2.ray

3.line-segment

4.triangle

A simple closed curve made up of only line segments is called a ________

1.polygon

2.square

3.rectangle

4.triangle

A triangle and a parallelogram has same base and same area as shown in the diagram below. Dimensions of triangle are 28cm, 26cm and 30cm with 28cm being the base. What is the height of the parallelogram?

1.15cm

2.10cm

3.12cm

4. 18cm

Any triangle is a ______ sided polygon.

1.1

2.2

3.3

4.4

At what rate will the lateral surface area of the cylinder increase if the radius is increasing at the rate of 2 cm/s when the radius is 5 cm and height is 10 cm?

1.40 cm/s

2. 40π cm/s

3.400π cm/s

4.20π cm/s

Distance travelled by any object is _____________

1.Double integral of its acceleration

2.Double integral of its velocity

3.Double integral of its Force

4.Double integral of its Momentum

Divide 120 into three parts so that the sum of their products taken two at a time is maximum. If x, y, z are two parts, find value of x, y and z.

1.x=40, y=40, z=40

2.x=38, y=50, z=32

3.x=50, y=40, z=30

4.x=80, y=30, z=50

f differentiation of any function is infinite at any point and constant at other points then it means ___________

1.Function is parallel to x-axis at that point

2.Function is parallel to y-axis at that point

3.Function is constant

4.Function is discontinuous at that point

Find midpoint of (1, 4, 6) and (5, 8, 10).

1.(6, 12, 8)

2.(3, 6, 8)

3.(1, 9, 12)

4.(4, 9, 12)

Find the area of the circle if the radius is 3.14 cm.

1.30.98 cm

2.30.48 cm

3.30.68 cm

4.30.58 cm

Find the distance travelled by a car moving with acceleration given by a(t)=Sin(t), if it moves from t = 0 sec to t = π/2 sec, if velocity of a car at t=0sec is 10 km/hr.

1.10.19 km

2.19.13 km

3.15.13 km

4.13.13 km

Find the points which trisects the line joining (4, 9, 8) and (13, 27, -4).

1.(7, 4, 15)

2.(7, 15, 4)

3.(4, 15, 7)

4.(4, 7, 15)

How many endpoints does a ray have?

1.One

2.Two

3. Three

4.Four

If 180° < x < 360°, then x is a __________ angle.

1.acute

2.obtuse

3.reflex

4.right

If A(0, 3), B(5, 0) and C(-5, 0) are the vertices of ∆ABC, then the triangle is __________

1.Right-angled

2.Isosceles

3.Scalene

4.Equilateral

If coordinates of vertices of a triangle are (7, 6, 4), (5, 4, 6), (9, 5, 8), find the coordinates of centroid of the triangle.

1.(7, 5, 3)

2.(7, 3, 5)

3.(5, 3, 7)

4.(3, 5, 7)

If differentiation of any function is zero at any point and constant at other points then it means?

1.Function is parallel to x-axis at that point

2.Function is parallel to y-axis at that point

3.Function is constant

4.Function is discontinuous at that point

If perimeter of a rectangle is 24 m, then what would be the measure of each of the external angle of that rectangle?

1.90°

2.180°

3. 360°

4.45°

If the Hessian matrix of a function is zero then the critical point is?

1.It cannot be concluded

2.Always at Origin

3.Depends on Function

4.(100,100)

If the point P(a, b) is equidistant from the points (3, 1) and (2, 0) then ____________

1.a + b = -3

2.a – b = -3

3.a + b = 3

4.a – b = 3

If x is a right angle, what is true for x?

1.x = 90°

2.180° < x < 360°

3.0° < x < 90°

4.90° < x < 180°

If x is an acute angle, then what is true for x?

1.x = 90°

2.0° < x < 90°

3.90° < x < 180°

4.180° < x < 360°

If x is an obtuse angle, then what is true for x?

1.x = 90°

2.180° < x < 360°

3.0° < x < 90°

4.90° < x < 180°

In any equilateral triangle, find the sum of all the external angles.

1.180°

2.120°

3.60°

4.360°

In which ratio (3, 4, 5) divides the line segment joining (1, 2, 3) and (4, 5, 6) internally?

1.1:2

2.2:1

3.3:4

4.4:3

Integration of function is same as the ___________

1.Joining many small entities to create a large entity

2.Indefinitely small difference of a function

3.Multiplication of two function with very small change in value

4.Point where function neither have maximum value nor minimum value

The area of the triangle if A (-1, -1), B(-1, 3) and C (2, -1) are the vertices of the triangle is ____________

1.8 units

2.4 units

3.6 units

4.5 units

The coordinates of a point dividing the line segment joining (1, 2, 3) and (4, 5, 6) externally in the ratio 2:1 is ____________________

1.(4, 5, 6)

2.(6, 8, 9)

3.(7, 8, 9)

4.(8, 6, 4)

The coordinates of a point dividing the line segment joining (1, 2, 3) and (4, 5, 6) internally in the ratio 2:1 is ____________________

1.(3, 4, 5)

2.(5, 4, 3)

3.(5, 3, 4)

4.(4, 5, 3)

The distance between the points (5, 7) and (8, -5) is ________

1.√153

2.√154

3.√13

4.√53

The distance of the point (9, -12) from origin will be ___________

1.13

2.15

3. 14

4.17

The drawback of Lagrange’s Method of Maxima and minima is?

1.Maxima or Minima is not fixed

2.Nature of stationary point is can not be known

3.Accuracy is not good

4.Nature of stationary point is known but can not give maxima or minima

The length of the rectangle is changing at a rate of 4 cm/s and the area is changing at the rate of 8 cm/s. What will be the rate of change of width if the length is 4cm and the width is 1 cm.

1.5 cm/s

2.6 cm/s

3.2 cm/s

4.1 cm/s

The maximum number of sides that a polygon can have is ________

1.three

2.four

3.five

4.infinite

The maximum value of the function is? f(x, y) = sin(x).cos(2y).cos(x + 2y) + sin(2y).cos(x + 2y).cos(x) in the region x=0; y=0; x+2y = 3

1.90

2.cos(1)

3.sin(1).cos(1)

4.sin(3).cos(3)

The point on y-axis which is at a distance 5 unit from the point (-5, 7) is ___________

1.(7, 0)

2. (0, 7)

3.(1, 7)

4. (7, 7)

The ratio in which line joining (1, 2, 3) and (4, 5, 6) divide X-Y plane is ________

1.2

2.-2

3.1/2

4.-1/2

The sum of complimentary angles is __________

1.> 90°

2.< 90°

3.= 90°

4.= 180°

The sum of two supplementary angles is __________

1.> 90°

2.< 90°

3.= 90°

4.= 180°

The sum total of all the external angles is always ________

1.(n-2)180°

2.180°

3.(n-2)360°

4.360°

What are exterior angles of any polygon?

1.All angles within the polygon

2.The angles with measure as 90°

3.The angles forming a pair of supplementary angles

4.The angles forming a pair of complementary angles

What is the angle formed by a line?

1.90°

2.180°

3.270°

4.360°

What is the formula for the circumference of a circle?

1.C = 2πd

2.C = 2πr

3.C = 2πa

4.C = 2πs

What is the saddle point?

1.Point where function has maximum value

2.Point where function has minimum value

3.Point where function has zero value

4.Point where function neither have maximum value nor minimum value

What will be the point of x-axis which will be equidistant from the points (9, 8) and (3, 2)?

1.(10, 0)

2.(13, 0)

3.(11, 0)

4.(12, 0)

What will be the value of x, if the distance between the points (5, 11) and (2, x) is 10?

1.-11 + √91, -11 – √91

2.11 + √91, 11 – √91

3.11 + √91, 11 + √91

4.-11 + √91, 11 – √91

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