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MTH301 Quiz # 1 Last date 22 may, 2015

Dear Students!

Quiz # 1 will be started from May 18, 2015 12:00 AM. You can attempt the quiz at any time before 11:59 PM on May 22, 2015. It will cover first 7 lectures.

Start Date               End Date        Lectures Covered
 Quiz-1 May 18, 2015 May 22, 2015 Lecture 1-7

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### Replies to This Discussion

1..To determine a point on a real line how many axis are required (i.e. in 1 dimension)

1

2

3

2..To determine a point on a real line how many axis are required (i.e. in 1 dimension)

1

2

3

4..The number square root of 2 is

rational

irrational

5..For the following function to be one-to-one, x can not be what values? f(x) = {(2, 4), (3, 8), (4, 11), (5, x)}

13

4, 8, and 11

2, 3, and 4

2, 3, 4, and 5

6..Value of the function f(x, y, z ) = xy + z at the point ( 1, 1, 1) is

2

3

4

7..XY-Plane consist of all points where

z=0

x=0

y=0

8..A plane z = 3 is ........ to xy-plane.

parallel

perpendicular (doubt)

9..We need direction cosines to determine the position of a line in space.

true

false

Question # 1 of 10 ( Start time: 09:12:08 PM )  Total Marks: 1
If there are two points P(m, n) and q( a, b) on a plane then the distance between them is calculated by
Select correct option:

(m-n, a-b)
sqrt[(m-n, a-b)]
sqrt[(a-m)^2 + (b - n)^2]
(a-m)^2 + (b - n)^2

Question # 2 of 10 ( Start time: 09:13:15 PM )  Total Marks: 1
The number 3/11 is
Select correct option:

rational
irrational

Question # 3 of 10 ( Start time: 09:13:35 PM )  Total Marks: 1
Value of the function f(x, y, z) = xyz at point ( 2, 2, 2) is
Select correct option:

2
6
8
16

Question # 4 of 10 ( Start time: 09:14:11 PM )  Total Marks: 1
In rectangular coordinate system the point (-3, 2) is in
Select correct option:

Question # 5 of 10 ( Start time: 09:14:37 PM )  Total Marks: 1
Which of the following function is not the function of one variable
Select correct option:

y = f(x)
y = f( x, y)
z= g(n) + 2
m = g(s) + constant

Question # 6 of 10 ( Start time: 09:15:09 PM )  Total Marks: 1
The number 3/1 is
Select correct option:

rational
irrational

Question # 7 of 10 ( Start time: 09:15:28 PM )  Total Marks: 1
Intersection of two surfaces is a........ in three dimensional space
Select correct option:

line
point
curve
plane

Question # 8 of 10 ( Start time: 09:16:25 PM )  Total Marks: 1
YZ- Plane consists of all points where
Select correct option:

yz=0
yz=1
x=0
z=0

Question # 9 of 10 ( Start time: 09:17:34 PM )  Total Marks: 1
To determine a point on a real line how many axis are required (i.e. in 1 dimension)
Select correct option:

1
2
3
none

Question # 10 of 10 ( Start time: 09:18:38 PM )  Total Marks: 1
x-coordinate of vertex of parabola y = 3x^2 + 6x + 8 is
Select correct option:

1
-1
3 not sure
6

1. Face of the parabola (y = ax^2+bx+c ) is opening upward when

• a > 0
• a < 0
• b > 0
• b < 0

1. Value of the function f(x, y, z) = x^2+ y^2 + z^2 at the point (0,1, 0) is
• 1
• 0
• 2
• 3

1. For the line joining two points P(1, 1, 1) and Q(2, 2, 2) direction cosines are…..(distance between the points are sqrt(3))

1. (1/sqrt(3), 1/sqrt(3), 1/sqrt(3) )
2. (2/sqrt(3), 2/sqrt(3), 2/sqrt(3) )
3. (3/sqrt(3), 3/sqrt(3), 3/sqrt(3) )
4. (-sqrt(3), -sqrt(3), -sqrt(3) )

1. x-coordinate of vertex of parabola y = 3x^2+6x+8 is
• 1
• -1
• 3
• 6

1. The number “Square root 3” is
• Rational
• Irrational

1. The determine a point in a plane (in 2 dimension) how many axis are required
• 1
• 2
• 3
• None

1. To determine a point on real line how many axis are required (i.e. in 1 dimension)
• 1
• 2
• 3
• None

1. XY – Plane consist of all points where

• xy = 0
• xy = 1
• z = 1
• z = 0

If there are two points on P( 1, 0) and Q (0, 1) on the plane then the distance between them is
1, 0, 2, Sqr 2
A plane z = 3 is ........ to xy-plane
paralell
perpandicular
the number "pi" is
rational irrational
For the following function to be one-to-one, x can not be what values? f(x) = {(2, 4), (3, 8), (4, 11), (5, x)}
13,(4,8,11) (2, 3, 4)(2, 3, 4 ,5)
In rectangular coordinate system the point (-3, 2) is in
2nd
squarroot of 2 is
rational irrational
XY-Plane consist of all points where
z=0
To determine a point on a real line how many axis are required (i.e. in 1 dimension)
2
value of the function f(x, y, z) = xz/y at the point ( y, y^3, y^3) is

To determine a point on a real line how many axis are required( i.e. in 1 dimension)

1. 1
2. 2
3. 3
4. None

In rectangular coordinate system the point (3, -4) is located in

Value of the function f(x, y, z) = xyz at point (2, 2, 2) is

1. 2
1. 6
1. 8
2. 16

Value of the function f(x, y, z) = xz/y at the point (y, y^3, y^3) is

1. y^3
2. 1
3. Y
1. Xz/y

Value of the function f(x, y, z) = xy  + z at the point (1, 1, 1) is

1. 2
2. 3
3. 1
1. 4

YZ- Plane consists of all points where

1. Yz=0
2. Yz= 1
3. X = 0
4. Z = 0

We need direction cosines to dettermine the position of a line in space.

1. True
2. False

Value of the function f(x,y) = x^2.y at the point (x^3, x^2) is

1. x^3x^2
2. x^5
3. x^2x^2
4. x^8

To determine a point on a real line how many axis are required( i.e. in 1 dimension)

1. 1
2. 2
3. 3
4. None

In rectangular coordinate system the point (3, -4) is located in

Value of the function f(x, y, z) = xyz at point (2, 2, 2) is

1. 2
1. 6
1. 8
2. 16

Value of the function f(x, y, z) = xz/y at the point (y, y^3, y^3) is

1. y^3
2. 1
3. Y
1. Xz/y

Value of the function f(x, y, z) = xy  + z at the point (1, 1, 1) is

1. 2
2. 3
3. 1
1. 4

YZ- Plane consists of all points where

1. Yz=0
2. Yz= 1
3. X = 0
4. Z = 0

We need direction cosines to dettermine the position of a line in space.

1. True
2. False

Value of the function f(x,y) = x^2.y at the point (x^3, x^2) is

1. x^3x^2
2. x^5
3. x^2x^2
4. x^8

Value of the function f(x,y) = x^2.y at the point (x^3, x^2) is:

square root of 3 is an irrational number

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