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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Non Vocational Teacher (Junior) Mathematics - KVHSE , HSST Mathematics (SR for ST)' And exam conducted in the year 2024. And Question paper code was '009/2024'. 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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The Wronskian of the solutions e*,e* and e* of the differential equation
3 2
82832 60 0
dx® മ്മ് മ്മ
(^) 60% (B) -6e*
(0 625 (D) -6e%*
2 2
The partial differential equation 5 + ௦ =xy is:
ox oy’
(^) Elliptic (B) Parabolic
(C) Hyperbolic (D) None of these
Let u(x, y)=2f(y) cos(x-2y), (x,y)e R? be a solution of the initial value problem
2u, tu, =U, u(x, 0)=cosx, then /(1) equal to :
^ م
(0) 2
००") where p is a prime number is:
(A) 1
(0)
9(55) is:
(A)
(0)
If p is prime, then for any integer a:
“+1
54
55
(A) ०१7 =1(mod p)
(0 a? =-a(mod p)
The solution of 25x =15(mod 29) is :
(A) x =18(mod 29)
(C) x =18(mod 19)
ಗ) %
©) %
൫ 40
51
(B) a?! =-1(mod p)
a? = a(mod p)
(B) x= 29(mod 29)
൯൬ ॐ
17(mod 19)
The linear congruence ax = b(mod m) has exactly one solution if :
(A)
(0
(2, 71) = 1
(11
18
൫ (a,b)=1
0) (a,m)=1
009/2024
[P.T.0.]