# Mathematics/Mathematics MCQs Set-8 Sample Test,Sample questions

1.0.85 cm

2.0.84 cm

3.0.83 cm

4.0.82 cm

1.xy = 2

2.xy = -1

3.x – y = 2

4.x + y = 2

1.22m

2.22(2/9)m

3.22(1/9)m

4.22(4/9)m

1.11m/sec

2.31 cm/sec

3.21m/sec

4.41m/sec

1.30 cm

2.31 cm

3.32 cm

4.33 cm

1.38.5cm

2.37.5cm

3.38cm

4.39.5cm

1.172 cm

2.176 cm

3.178 cm

4.174 cm

1.6 seconds

2.8 seconds

3. 4 seconds

4.2 seconds

## Question: ```Another form of Rolle’s theorem for the continuous condition is _____ ```

1.f is continuous on [a,a-h]

2.f is continuous on [a,h]

3.f is continuous on [a,a+h]

4.f is continuous on [a,ah]

## Question: ```Another form of Rolle’s theorem for the differential condition is _____ ```

1.f is differentiable on (a,ah)

2.f is differentiable on (a,a-h)

3.f is differentiable on (a,a/h)

4.f is differentiable on (a,a+h)

1.(-2, -2)

2.(-2, 2)

3.(2, -2)

4.(0, 2)

1.False

2.True

## Question: ```Does Rolle’s theorem applicable if f(a) is not equal to f(b)? ```

1.Yes

2.No

3.Under particular conditions

4.May be

1.21

2.17

3. 12

4.11

1.21

2.– 7

3.12

4.– 8

1.38.2

2.19.64

3.89.21

4.54.54

1.30.82

2.34.91

3.11.23

4.7.54

1.69.69

2.84.32

3.63.25

4.83.25

1.3 sq.units

2.2 sq.units

3.0

4.1 sq.unit

1.2y-x=0

2.2y-x=0

3.y-x=0

4.y-2x=0

1.4x-y=4

2.x-4y=4

3.x-y=4

4.x-y=0

1.0

2.-1

3. 2

4.1

1.2

2.5

3.4

4.9

1.True

2.False

1.True

2.False

1.False

2.True

1.continuous

2.non-continuous

3.integral

4.non-existent

## Question: ```If a, b, c be the space described in the pth, qth and rth seconds by a particle with a given velocity and moving with uniform acceleration in a straight line then what is the value of a(q – r) + b(r – p) + c(p – q)? ```

1.0

2.1

3.-1

4.Can’t be determined

1.Parabola

2.Hyperbola

3.Ellipse

4.Circle

## Question: ```In what ratio is the line segment joining the points A(-5, 2) and B(3, 9) divided by the x-axis? ```

1.2:5 (internally)

2.2:5 (externally)

3.2:9 (externally)

4.2:9 (internally)

## Question: ```In what ratio is the line segment joining the points A(2, 4) and B(6, 5) divided by the y-axis? ```

1.2:1 (internally)

2.2:1 (externally)

3.3:1 (internally)

4.3:1 (externally)

## Question: ```Lagrange’s mean value theorem is also called as _____ ```

1.Euclid’s theorem

2.Rolle’s theorem

3.a special case of Rolle’s theorem

4.the mean value theorem

## Question: ```Rolle’s theorem is a special case of _____ ```

1.Euclid’s theorem

2.another form of Rolle’s theorem

3.Lagrange’s mean value theorem

4.Joule’s theorem

1.True

2.False

1.4

2.2

3.6

4.8

## Question: ```Two straight railway lines meet at right angles. A train starts from the junction along one line and at the same time instant, another train starts towards the junction from a station on the other line and they move at the same uniform velocity.When will they be nearest to each other? ```

1.When they are equal distance from the junction

2.When they are in unequal distance from the junction

3.When they form a right angle at the junction

4.Data not sufficient

## Question: ```What are/is the conditions to satify Lagrange’s mean value theorem? ```

1.f is continuous on [a,b]

2.f is differentiable on (a,b)

3.f is differentiable and continuous on (a,b)

4.f is differentiable and non-continuous on (a,b)

1.1 sq.unit

2.5 sq.units

3.2 sq.units

4.3 sq.units

1.Equals to

2.Greater than

3.Less than

4.Unequal

1.f(a) < f(a+h)

2.f(a) = f(a+h)

3.f(a) = f(a-h)

4.f(a) > f(a+h)

## Question: ```What will be ratio in which the line 3x + y – 11 = 0 divides the line segment joining the points (0, -1) and (-3, -4)? ```

1.1:2 (internally)

2.1:2 (externally)

3.2:1 (externally)

4.2:1 (internally)

1.(-5, -12)

2.(5, -12)

3.(5, 12)

4.(-5, 12)

1.32.65 m

2.32.87 m

3.31.87 m

4.32.85 m

1.x + y = 0

2. x – y = 0

3. 2x – y = 0

4.x + 2y = 0

1.a = 0, b = -1

2.a = -1, b = 1

3.a = 1, b = 1

4.a = 0, b = 1

## Question: ```Which of the following is not a property of determinant? ```

1.The value of determinant changes if all of its rows and columns are interchanged

2.The value of determinant changes if any two rows or columns are interchanged

3.The value of determinant is zero if any two rows and columns are identical

4.The value of determinant gets multiplied by k, if each element of row or column is multiplied by k

## Question: ```Which of the following sets of planes are parallel to each other? ```

1.2x+3y+4z=8 and 3x+9y+12z=7

2.2x+3y+4z=2 and 4x+6y+8z=9

3.3x+2y+4z=0 and 3x+4y+2z=0

4. 2x+4y+8z=9 and 4x+2y+7z=0

1.Tangent

2.Cosecant

3.Secant

4.Sine

## Question: ```____ is the angle between the normals to two planes. ```

1.Normal between the planes

2.The angle between the planes

3.Tangent between the planes

4.Distance between the planes

1.Orthogonal

2.Tangential

3.Normal

4.Parallel

## More MCQS

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