Kerala PSC Previous Years Question Paper & Answer
Page:10
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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Let x,y be elements of a Hilbert space H, such that |x] =3, Jo] =4 and |+ | = 7, then
ഠാ equals :
(A) 1 (B)
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bo
A bounded operator A:H —H where H is a Hilbert space is called self adjoint if and
only if :
(^) (Ax, y)=0 (B) (Ax, y)=1
(C) (Ax, 9) = (x, Ay) Vx, yeH (D) None of these
8 ഗ് 7
The order and degree of the differential equation x =| 1+ (ॐ | is respectively :
2 2
(A) 2,1 (8) 1,2
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: if वि ನ 2 dy वि
Integrating factor of the differential equation (x + i +4xy=x is:
(A) (x? 41) (B) x41
0 1 1
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श +1 (x? + 1)
Consider the ordinary differential equation y'(x)= f(y(x)). If f is an even function and y is
an odd function then :
(A) y(-x) is a solution (8) - [ x) is a solution
(C) —y(x) is a solution (D) y(x) y(-x) is a solution
2
The general solution of vy لكو + 16y=0 is:
व മ്മ
(A) C,e* +C,e** (B) C,e**-C,e**
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009/2024 12 A