MTH301 Quiz No.1 Shared by Saqib

Question # 1 of 10 ( Start time: 05:16:29 PM ) Total Marks: 1
x-coordinate of vertex of parabola y = -x^2 + x + 3 is
Select correct option:
1/2
3
-1
1


Question # 2 of 10 ( Start time: 05:17:41 PM ) Total Marks: 1
To find the limit of f(x, y) = (xy)/(x^2 + y^2) at (0, 0) if we approach ( 0, 0) through the line y = x , we get the value
Select correct option:
1
0
1/2
None of these


Question # 3 of 10 ( Start time: 05:18:47 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 # 4 of 10 ( Start time: 05:19:35 PM ) Total Marks: 1
The number 3/11 is
Select correct option:
rational
irrational


Question # 5 of 10 ( Start time: 05:20:04 PM ) Total Marks: 1
Which of the following is the representation of Cylindrical coordinates
Select correct option:
(x, y, z)
(r, theta, z)
(row, theta , phi )
(row, phi, z)


Question # 6 of 10 ( Start time: 05:20:56 PM ) Total Marks: 1
If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is zero, then tangent plane at that point will be parallel to--------.
Select correct option:
XY-plane
YZ-plane
XZ-plane
Any arbitrary plane


Question # 7 of 10 ( Start time: 05:22:07 PM ) Total Marks: 1
If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is Infinity, then tangent plane at that point will be perpendicular to--------.
Select correct option:
XY-plane
YZ-plane
XZ-plane
Any arbitrary plane


Question # 8 of 10 ( Start time: 05:23:12 PM ) Total Marks: 1
value of the function f(x, y) = x^2.y at the point ( x^3, x^2) is
Select correct option:
x^3.x^2
x^5
x^2.x^2
x^8


Question # 9 of 10 ( Start time: 05:24:01 PM ) Total Marks: 1
The number 3/1 is
Select correct option:
rational
irrational


Question # 10 of 10 ( Start time: 05:24:25 PM ) Total Marks: 1
For which of the following values of “x”, the partial derivative of “z=2/y(x-1)” exists?
Select correct option:
R
R-{1}
R-{0}
R-{1,0}