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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.
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43. ಬ |:
2+1 1, (343
)۸( “امم 3 | (8) இ )
1 ട് 1 5
اکس )1( سے രു
44. The solution of (12x+5y—9)dx + (53 +2y ~4)dy=0 is :
(A) 6x%-5xy—y?+9r—dy=c (8) 3x®—day+9x—3y=c
(€) 6:2 + بر4- 9 - تن - رودق + (D) 62+ تبرج رودق - 9: -ಕ್ಯ ಕಲ
45. In the Fourier series expansion for the function x? in the interval ]-» 7] the value of ളി
5:
2(-1)" 4(- 1)" 4 2(-1)"
(^) ~ ® —— © 2 യു
ل2
46, Solution of the Clairaut's equation p=log(px —y) where کو سم is
(A) y=cx (8) c=loglcx—y)
(0) (-afe-1)=1 12) ടട
47. usual notations F (a, b; ¢; y) is given by :
o () (), y" ഒം (2), (20,
1 வம்பன் ப்ட் و
(ಗಿ) >, பா! 0 2 (೧,1!
வலிய ॥ (4) (ಶಿ), y
1- ர 1+ 7
(0) நடை (ட! (0) ಶ್ರಿ (೧/11!
48, The equation (1 ലു +n(n+1)y=0 18 ೧೩1100 ⋅
≼⋀≱⊡⇀∟⇪⇂⋮⊟∣∈⊏∃⊔⊟∥⋅⊔⊓ ∊∐⋟⊔⋅≣⊟∏⊔⊞⊟↰∐∃⊔∎∘∏
≼∁⋥∁∣↿⊵↳∃∣⋨↾∎∈⋁⊳≡∊∁↿∐∃≖↿∎∘⊓ (12) Laguerre equation
49. In the 4" order Runge-Kutta method the global error will be :
(^) ०८) ஐ ஸ் 9 98) യ) 988.
121/2014 8 A