Q. 75 Let f(x) = Then range of f is
(A) Set of all real numbers R
(B) R-(1, 2}
(C)
(D)
Q.76 The value of is
(A) -1
(B) 1
(C) c
(D) 2c
Check AnswerQ.77 The solution of the congruence 4x = 5 (mod 9) is
(A) x= 6(mod 9)
(B) x= 7(mod 9)
(C) x=8(mod 9)
(D) x= 2(mod 9)
Check Answer78. The series is convergent for
(A) | x | < 1 only
(B) | x| 1
(C) -1 < x 1
(D) all real values of x
Check AnswerQ.78 The general solution of the differential equation (x² + y²) dx- 2xdy 0 is
(A) x² – cx- y² = 0, where c is an arbitrary constant
(B) (x- y)² = cx, where c is an arbitrary constant
(C) x+y+ 2xy = C, where c is an arbitrary constant
(D) y = x² – 2x + C, where cis an arbitrary constant
Check AnswerQ.79 Let f be defined on R by setting f(x) = x, if x is rational and f (x) = 1- x if x is irrational. Then
(A) f is continuous on R
(B) f is continuous only at x =
(C) f is continuous everywhere except at x =
(D) f is discontinuous everywhere
Check Answer
Q.80 The differential equation ydx – 2xdy = 0 represents
(A) a family of straight lines
(B) a family of parabola
(C) a family of hyperbolas
(D) a family of circles
Check AnswerQ.81 A particular integral of the differential equation (D² + 4)y=x is
(A) x
(B) x cos 2x
(C) x sin 2x
(D)
Q.82 The area of the cardioid r= a(1 + cos0) is equal to
(A)
(B)
(C)
(D)
Q. 84. The value of sin x + cos x ill be greatest when x is equal to
(A)
(B)
(C)
(D)
Q.85 If a particle in equilibrium is subjected to four forces =21- 5j + 6k,
=1+31-7k,
= 21 – 21-3k and
then
equal to
(A)-5i + 4j + 4k
(B) 5i – 4j- 4k
(C) 3i-2j-k
(D) 3i +j – 10k
Check AnswerQ.86 The function f(x) = |x|+|x-1| is
(A) Continuous and differentiable for x = 0, x =1
(B) Continuous but not differentiable for x = 0, x = 1
(B) Discontinuous but differentiable for x = 0, x = 1
(D) Neither continuous nor differentiable for x = 0, x-1
Check Answer
very very informative & help full for me