A;-joint confidence interval estimation
B:-extra sum of squares
C:-all possible regression method
D:-none of these
Correct Answer:- Option-B
Question64:-Which of the following improper integral is convergent ?
A:-int*(00)_-ooxsin(x*(2))dx*
B:-‘int*(00)_1(1)/(x*(0.5))dx*
C:-int*(00)_-ooxe*(-x*(2))dx*
D:-*int*(00)_-2sinxdx*
Correct Answer:- Option-C
Question65:-The sequence of functions *{f_(n)}*,n = 1, 2, 3, ...., where ர 00220, then which among the following
statement(s) is/are true ?
i. {f_(n)}* is point wise convergent 01 “[0, (1)/(2)]'
ii. ‘{f_(n)}* is uniformly convergent on *[0, (1)/(2)]°
{f_(n)}* is point wise convergent 01 “[0, 1]
iv. *{f_(n)}* is uniformly convergent on [0, വ”
A:-i only
B:-i and ii only
C:-i, ii and iii only
D:-i, ii, iii and iv
Correct Answer:- Option-C
Question66:-Consider the function *f : R*(2)->R° , where “f(x, y)=sqrt(|xy|)°, then which among the following statement(s)
is/are true ?
i. fis continuous at all points (x, y)
ii. f is differentiable at the point (0, 0)
A:-i only
B:-ii only
C:-i and ii
D:-neither i nor ii
Correct Answer:- Option-D
Question67:-Let A be an n x n orthogonal matrix, then which among the following statement(s) is/are true ?
i. The columns of A are orthonormal vectors
ii, The rows of A are orthonormal vectors
ili. “A*(T)=A*(-1)°

A:-i only

B:-i and iii only
C:-ii and iii only
D:-i, ii and iii

Correct Answer:- Option-D
Question68:-Which of the following statement about an n 206 ‏م‎ idempotent matrix P is not true ?
A:-| - P is idempotent, where | is the n x n identify matrix
B:-Null space of P is the same as the column space of | - ‏م‎
‎C:-rank(P) + rank(| - P) =0
D:-trace(P) = rank(P)
Correct Answer:- Option-C
Question69:-Consider the matrix *A=([1,0,2],[-1,1,3],[0,0,2])’, then
A:-characteristic roots of A are 1 and 2 with algebraic multiplicity 1 and 2 respectively
B:-characteristic roots of A are 1 and 2 with algebraic multiplicity 2 and 1 respectively
C:-characteristic root of A is 1 with algebraic multiplicity 3
D:-characteristic root of A is 2 with algebraic multiplicity 3
Correct Answer:- Option-B
Question70:-The determinant of the matrix *([cosec*(2)theta,cot*(2)theta,1],[cot*(2)theta,cosec(2)theta,-1],[12,10,2])°
is equal to
A:-0
B:-2
C:-2(cosec*(2)thetat+cot(2)theta)*
D:- 4cot*(2)theta®
Correct Answer:- Option-A
Question71:-A method of teaching which lay stress on individual practical work, careful observation and independent
thinking to make the student self-reliant