IIT JAM Mathematics Practice Test- 10 - Mathematics MCQ
30 Questions MCQ Test - IIT JAM Mathematics Practice Test- 10
find (p.q) where 
at ( 1 - 1, 1).
then the point (1,-1,2), we have
(1)
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then 
is equal to,
is equal to
at the p oin t (1, -2, 1), is
A non - zero vector 
is parallel to the line of intersection of the plane determined by the vectors i, i +j and the plane determined by the vectors i - j, i + k. Then the angle between and the vector i - 2j + 2k is ,
The unit normal to the surface xy2 + 2xz = 4 at the point (2, -2, 3) is
The values of x for which the angle between the vectors 
is obtuse,
is given by
The value of line integral 
and C is the boundary curve of the upper half surface of the sphere x2 + y2 + z2 = 1.
The value of 
where F = 2xi + 3yj + 4zk and S is the surface of sphere x2 + y2 + z2 = 1
then
d o e s not exists.Hence,f(x,y) is not 
The differential equation of the family of parabolas with foci at the arigin and axis along the x-axis is)
is
is equal to,
Let y(x) = 4(x) sinx + v(x) cos x be a solution of the differential equation, y”+y sec x, Then 4(x) is
Let W be the region inside the solid cylinder x2 + y2 < 9 between the plane z = - 2 and the parabolio d z = x2 + y2. Let S is the boundary of W and 
be a vector field. Then the value of 
cannot be ?
If 
then at the point (1 -1 ,1 ), select the correct statements:
The value of line integral 
where C is the circle x2 + y2 = 16 , z = -1, is
if 
are unit vectors, then the possible values of 
is/are
The directional derivative of f at P in the direction of 
with 
The value of 
for the vector field 
for a plane rectangular area with vertics at 
in x-y plane, is ____________.
for the vector 
take over 
The value of surface integral
Where S is closed Sufrace 
Let S be the surface with the indicated orientaton 
then the value of 
Let S be the portion of the cylinder y = Inx in the first octant whose projection parallel to the y-axis on to the xz-plane is the rectangle Rxz : 
Let 
be the unit vector normal to S that points away from the xz-plane. Let 
be a rector field, then the value of integral 
The circulation of the field 
around the curve C in which the plane z = 2 meets the cone 
Counterclock wise as viewed from above, is equal to ....... (correct upto two decimal places)
The direcitional derivative of 
in the direction of the unit vector 
Find the directional derivative of 
at the point 
Find the derivation of 
in the direction v = 2i - 3j + 6k
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