A:-Swathi Thirunal
B:-Rani Gouri Lakshmi Bai
C:-Ayilyam Thirunal
D:-Uthradam Thirunal
Correct Answer:- Option-A
Question10:-Who is known as ‘Kerala Valmeeki'?
A:-P. Kunchiraman Nair
B:-Vallathole Narayana Menon
C:-Kerala Varmma Valiya Koyithamburan
D:-Ulloor. S. Parameswara lyer
Correct Answer:- Option-B
Question11:-If *x, y, 2° are 1st, 2nd and 3rd terms of an AP respectively, then *|[x,1,1][y,2,1],[z,3,1]]="
றன்‌
B:-0

Correct Answer:- Option-B
Question12:-If “K=|[x,y,z].[a,b,c][p.q.r]| then > |[3x,3y,3z],[3a,3b,3c],[3p,3q,3r]|=>
Ate

Correct Answer:- Option-B

Question13:-For the matrix ‘A =[[1,2,3],[1,1,1],[1,0,0]]’, the matrix ‘A.adj(A)=[[k,0,0],[0,k,0],[0,0,k]]’ then the value of ` (<`
is

Correct Answer:- Option-D
Question14:- int log(2x) dx’ is
A:*’x log(2x) - x + ¢
(1)/(2x)+c>
(2)/004௦
0:- » [106 (220)+1]+८
Correct Answer:- Option-A
Question15:-The general solution of the differential equation * (dy)/(dx)=((1+e*y))/((1 + e*x) e%y)° is
100[(1+€^20/(1+€^ #)] += (`
log[(1+e%y)/(1+e*x)]-x= ‏ے‎
‎109 [(1 + €^») (1 + €^४)] - + = ¢`
0:- (1 + e*x) (1+ e%y)-x=c
Correct Answer:- Option-C
Question16:-If *y = x*2+ax+b log (|x|)* has its extremum value at *x=1", and *x+ -3°, then

a=3,b=-3
D:a=2, b=3°
Correct Answer:- Option-A
Question17:-If, ‘x - 3y + |y|", then ‘y* as a function of *x® is
A:-not continuous at *x = 0°
B:-differentiable for all *x*
(dy)/(dx)= (1)/(4),° for * y > 0°
D:-* (dy)/(dx)= (1)/(2),° for *y > 0“
Correct Answer:- Option-C
Question18:-The number of terms in the expansion of ‘(x + y + z)*6 is
A:-28
B:-30
C:-42
D:-7