MTH301 Quiz No.1 Shared by Rabia

Question # 1 of 10 ( Start time: 06:52:24 PM ) Total Marks: 1
In rectangular coordinate system the point (-3, 2) is in
Select correct option:
first quadrant
second quadrant
third quadrant
fourth quadrant


Question # 2 of 10 ( Start time: 06:53:18 PM ) Total Marks: 1
A function f(x, y) = xy.lnxy is not continuous at (0, 0) because
Select correct option:
function is not defined at (0, 0)
limit value of the function is not equal to the function value at (0, 0)
function is piecewise
None of these


Question # 3 of 10 ( Start time: 06:54:36 PM ) Total Marks: 1
For a line joining two point P(1, 1, 1) and Q(2, 2, 2) direction cosines are ..... (distance between the points are sqrt(3) )
Select correct option:
(1/sqrt(3), 1/sqrt(3), 1/sqrt(3))
(2/sqrt(3), 2/sqrt(3), 2/sqrt(3))
(3/sqrt(3), 3/sqrt(3), 3/sqrt(3))
(-sqrt(3), -sqrt(3), -sqrt(3))


Question # 5 of 10 ( Start time: 06:56:21 PM ) Total Marks: 1
The function e^(xy) is continuous
Select correct option:
where xy greater than zero
where xy greater than or equal to zero
in whole region of xy plane
where xy less than zero


Question # 6 of 10 ( Start time: 06:57:45 PM ) Total Marks: 1
The plane y = 2 is ...... to xz plane
Select correct option:
Parallel
Perpendicular


Question # 7 of 10 ( Start time: 06:58:43 PM ) Total Marks: 1
For which of the following values of “y”, the partial derivative of “z=2/y(x-1)” exists?
Select correct option:
R
R-{1}
R-{0}
R-{1,0}


Question # 8 of 10 ( Start time: 06:59:37 PM ) Total Marks: 1
For which of the following points in xy-plane, the partial derivative of “z=2/y(x-1)” exists?
Select correct option:
For all points in plane
For all points in plane except (0,0)
For all points in plane except (0,1)
For all points in plane except (1,0)


Question # 9 of 10 ( Start time: 07:00:55 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: 07:01:59 PM ) Total Marks: 1
To determine a point in plane (in 2 dimension) how many axis are required
Select correct option:
1
2
3
none