Kerala PSC Previous Years Question Paper & Answer

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

Page:7


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: 7 out of 12
Excerpt of Question Code: 121/2014

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51:

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55.

Using Picard’s method the approximate solution to the initial value problem
⇡∙⋅∙↿⇀⊿↥↡∙∣∣⋮⋅ ∣⇂⋅↼≼∏∃∶∐∎↼⋮∶

(५) ரா

ال ‎५८११ नह‏ )1(
وار قرا دان )0(

(D) ⋅↿↿⋅≺⋅⊤⊐−−⇁⇂↽⊹≣−⇃∁⋅↴≁⋮⋮⊥⊽↴⊏⊾⋝⋅⇃ ‏مس‎

The partial differential equation formed from the equation that represents the set of all spheres
whose centre lie along the z-axis is given by :

(^) xp—yq=0 (8) yp—zq=0 (ಲ) yp-xq=0 (D) xp—zq=0

The complete integral of the equation நாறி டி!

ಗ ಲ್ಪ ಖ್ಯ (8) 2 =+ (व+ + 62
0 இண்டு) (0) 2 ಇಂಪಿಗೆ ‏ترط + بم‎
The integral surface of the equation

(2xy = 1)p + (2 — 2x%)q = 2(x — yz), which passes through the line xy(s) =1, yy(s) =0 and
20(8) = 5 15 :

(வி வரரா மழ ௨1 0) ‏1ح + - دب - 2ر2‎
യ കന്‍ മട (0) 32 + ४2 - प्ट - #2+2=1

2 2
Which of the following are solutions to the partial differential equation - =
‏لا‎
‎(ಗಿ) cos(3x—y) @ ക്ക്‌ (€) sin (3x—3y) (D) e~ ¥ sinmy
.. ↼ ‏ل ا‎
The partial differential equation क 529 is classified 05 :
‏٠‎ ५
{A) elliptic (8) parabolic {C) hyperbolic (D} none of the above
2 121/2014
{7.7.0.|

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