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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.
6. Let Whe a subspace of an inner product space V and # be an arbitrary vector in V. Then
best approximation to £ by vectors in W isa vector ain W such that for very vector yin W
൧ 2-5] - | ©) ]۸- [<۸
© ॥७-4<|6-| ஐ [7-1]
7. மஞ் V be an inner product space and S be a set of vectors in V which is orthogonal. Then S
is said to be orthonormal set if for very به in S
^ fa=1 ®) 1451
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8. Using Squeeze theorem the value of the ४५ | =
n
(A) 0 (8) 1
(0) = (D) None of these
9. If (x,,)be a bounded sequence of real numbers then it has a
(ಹ) Convergent Subsequence (B) Divergent Subsequence
(C) Divergent Sequence (D) None of these
10. Let I be a closed bounded interval and let f: J > Rcontinuous on J. Then f is
(A) Continuous on I (B) Discontinuous on I
(C) Uniformly continuous on I (D) None of these
11. Which of the following function on [a,b] is not Reimann integrable.
(^) Step function (B) Monotone function
(C) Dirichlet function (D) Continuous function
12. If f isa real valued function then which of the following is not true for Rolle’s theorem
(A) fis continuous on (a,b) ൯) Differentiable on (a,b)
(൭ f(a)=f) (D) f iscontinuous on [a,b]
009/2024 4 A