Kerala PSC Previous Years Question Paper & Answer

Title : LECTURER IN MATHEMATICS KERALA COLLEGIATE EDUCATION
Question Code : A

Page:8


Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'LECTURER IN MATHEMATICS KERALA COLLEGIATE EDUCATION' And exam conducted in the year 2014. And Question paper code was '121/2014'. 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: 8 out of 12
Excerpt of Question Code: 121/2014

2

2-۷ 5 2
56. 'The finite difference approximation വ്‌ 53 in the elliptic equation 2५ + 9 =pat(xy)
87 22 22 ¢
can be approximated as :
A ०२५ ಎಸ ने ಡಿಸ, ಬ) — 2u(x,y) + ufx - ಡಿ, ॥) - ‏٦,200‎ न ‏اپ‎ नामक मा)
@ ‏تج‎ ഷാ?
22 _ ॥( + 4४, ‏(لا‎ மரற) u(x ‏علا ے‎ + ಯ, का) न दि மோ கறி
‏كا وح‎ ட ~ ^ 1
© 5 (ax)?
= ‏پر تق‎ உல மா கறி - 20) ) + ulx,y — Ay)
© ‏عو‎ (५
०५ ४ + 02. 9) ~ (~ 4, +)
(D) 9 2Ax
57. Which of the following is an example of a parabolic type partial differential equation ?
(4) Wave equation (18) Heat equation
(ಛಿ) Laplace's equation (D) None of the above
58. The following function(s) can be used for interpolation :
(A) Polynomial (8) Exponential
(€) Trigonometric (D) All of the above
५१ 2 ക്യ
59. Given, 2 + (0) =0, y(12) =0 the value of 2 AL Y(4) using the finite difference
method and a step size of h=4 can be approximated by :
L_fl - 10) ‏0)پ+-(4)پ2--(8)‎
‎(५) 1 ‏)لا )® م‎ பண 1/0)
ಎ 8(12)-2/(8)*(4) 8-௫
(ಲ = ಇ...
60. The following x - y data is given :
೫ [15] [18] 22
‏ل‎ 24] 37125
'1136 1100/1078 6111000 difference second order polynomial for the above data is given by :
‏حاوط + (15- جا رط+ ود (جاگ‎ -15()× 18)
The value of b, is most nearly :
(ക) -1.0480 (8) 014333 (©) 43333 (0). 24.000
121/2014 10 A

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