2023 2024 Student Forum > Management Forum > Main Forum

 
  #2  
1st December 2014, 01:43 PM
Super Moderator
 
Join Date: Apr 2013
Re: UP PCS Exam Sample Paper of Maths

As you want I am here providing you the Sample Paper of Mathematics of the UP PCS Exam.


Sample Questions :

1. (a) Define a function f of two real variables
in the xy-plane by
f (x,
Check
1
X3 COS- + y
3 1
cos- y for x, y # 0
X2 +y2
0 , otherwise
the continuity and differentia- bility of f at (0, 0). 12
(b) Let p and q be positive real numbers
such that -
1
+ -
1
= 1. Show that for real
P
numbers a, b 0
at' bq
ab < + — — 12
P
(c) Prove or disprove the following
statement : 12
If B = (b1, b2, b3, b4, b5 } is a basis
for 525 and V is a two-dimensional
subspace of R5, then V has a basis
made of just two members of B.
(d) Let T: 1123 IR3 be the linear trans- formation defined by
T(cc, I, y) = (cc + 213 - 3y, 2a +513-4y, a +4(3+ y)
Find a basis and the dimension of the
image of 7' and the kernel of T. 12


(a) Find the points of local extrema and
saddle points of the function f of two
variables defined by
f (x, y) = x3 +y3 - 63(x + y) + 12xy


Compute the volume of the solid
enclosed between the surfaces
x2 +y2 =9 and x2 +z2 =9.

UP PSC exam Maths Paper



Here is the attachment.................
Attached Files
File Type: pdf UP PSC exam Maths Paper.pdf (127.4 KB, 70 views)


Quick Reply
Your Username: Click here to log in

Message:
Options

Thread Tools Search this Thread



All times are GMT +5. The time now is 06:28 PM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2024, vBulletin Solutions Inc.
SEO by vBSEO 3.6.0 PL2

1 2 3 4