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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Higher Secondary School Teacher Mathematics' And exam conducted in the year 2022. And Question paper code was '066/2022/OL'. Medium of question paper was in Malayalam or English . Booklet Alphacode was ''. 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.
Question13:-Consider the sequences of functions (/,)and (9, defined by
[|
०९ = ام پت
Choose the correct statement fram the followin:
‘svg, converges uniformly on (0,1)
B:-,, converges uniformly on (0.2)
Both f,, and a, converges uniformly on (0.2)
De-Neither fx nor ہو converges uniformly 07 (0,2)
Correct Answer: Option:
ಆ + [0.1] be defined a:
۸0) ٣٥
Which of the following statements is true?
AccThe Riemann lower sum of f corresponding to any partition is 1
B:-The upper Riemann integral of Fis 1
Riemann integrable و( لی
D-None of the above
Correct Answer:- Option ®
Question15::Which of the following sets has nonzero Lebesgue measure?
കുല്ലു
B:-The Cantor set
ട്വ]
പ്ല]
Correct Answer:- Option-D
‘Question16:-Consider the function f:R* = R defined by
it x20
it x0
Choose the correct statement from the followin:
continuous at (0,0) وأ )ننه
Bs is differentiable at (0,0)
Cf has directional derivatives at (0,0) in all directions
Di-The directional derivatives of fat (0,0) in the direction of (1,0) does not exists
Correct Answer: Option-C
7
श्या
ھی
Del
Correct Answer: Option ®
Question18:-Let f(x)=x, 0
ya 7
ஆ sinnx,Q
As ಆ) sinne,Q
ന,
ا