Kerala PSC Previous Years Question Paper & Answer

Title : LECTURER IN MATHEMATICS NCA EZHAVA/THIYYA/BILLAVA COLLEGIATE EDUCATION
Question Code : A

Page:10


Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'LECTURER IN MATHEMATICS NCA EZHAVA/THIYYA/BILLAVA COLLEGIATE EDUCATION' And exam conducted in the year 2016. And Question paper code was '088/2016/OL'. Medium of question paper was in Malayalam or English . Booklet Alphacode was 'A'. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.

page: 10 out of 12
Excerpt of Question Code: 088/2016/OL



மது?!

اخ 2خبر2
(1+2+77+2) و0١ 2 نا -:0
‎Correct Answer:- Option-‏

ഭയ 2128 ௦ம்‌
Question82:-A partial differential equation of the form & . v

“=F(x, y, U, U_X, u_y)" is said to be
elliptic

೧-072ಎ07`
8:82 0*
:-26072 > 0
D:-a+c=2b
Correct Answer:- Option-B
Question83:-General Integral of *yzz_x+xzz_y=xy" is :
ಹಿಪ್‌ 0೧23/72, 2723/72) ಎ07

وا

C:-F *(yz, xz)=0"

]> --[ :
2 لا تا :0

Correct Answer:- Option-A

Question84:-Which of the following function is nowhere analytic :
कयित) “ദു്‌
8;-`1(7)ಎ21--1 (2-2) ``
CifZ)=x 2y 2+ ‏ود‎
‎D:-*f(z)=cosh® *x* “cosy+i
Correct Answer:- Option-B

رت ال" "ماو

z
Question85:-Let ‏جاع‎ be the one-dimensional wave equation with boundary conditions
u{0, t} = 0, u(L, t)=0 forall t and initial conditions
ಟು (x), *u_t (x, 0} = g{x)" for all x.
If u {x, t} = “sum_(n=1)"00" *(a_n cos lambda_n t+b_nsinlambda_n t} sin’ *{npix}/(L}", then *a_n ="

L
ತೆ ] ಖೈ 008 ಗ್‌ 0%
A- 1
L
2 | 5 षान ಗ್ರ
छ:- 0
2 ரால்‌
۴ ங்க
ടേ 0
it
| ट ‏ہیں 7ط‎
0 0

Correct Answer:- Option-C
Question86:-Two-dimensional heat equation is :
டர =& (படி ധ്യ
‏ھپ سے‎
5 1111-५ 11
ടോ ധാ”
5 யடி (1.५ மி
Correct Answer:- Option-A

Question87:-Let *phi’ {x)=x be an iteration function for solving the equation f(x)=0 by fixed point iteration method. The
iterations converges to a root, if :

A:-['phi**(x k)'|>1, fork=0,12,...

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