If x < 5, then
A.–x < – 5
B. –x ≤ –5
C. –x > –5
D. –x ≥ –5

Equation of a line which is 5 units distance above the x – axis is.................. (a) x = 5 (b) x +5 = y (c) y = 5 (d) x + y = 5.

Select the pair of equal of equal sets from the following : A = {0} B = {x : x gt 15 and x lt 5, x in N} C = {x : x - 5=0} D = {x:x^(2) = 25} E = { x : x" is positive root of "x^(2)-2x-15}=0 .

Which of the following are algebric equations? a. 3x-5" " b. 44" "c. 5x " " d. 3xx5+18" "e. 2-p

Let A={x : x in R ,\ x >4} and \ B={x in R : x<5} . Then AnnB= (a) (4,5] (b) (4,5) (c) [4,5) (d) [4,5]

Differentiate the following w.r.t.x. a. 9 b. pi^4 c. 2e^3 d. x^2+5 e. (x+5)^(-1//2) f. 5x^(3//2) g. sqrt(x+3) h. (2x^2+9)^3

If A = {x : x is a multiple of 3} and, B ={x : x is a multiple of 5}, then A-B is

Differentiate the following functions with respect to x (a) x^(3) + 5x^(2) - 2 (b) x sin x (c) (2x + 3)^(6) (d) (x)/ (sinx) (e) e^((5x+2))

If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) , then c is equal to a. 27 b. -27 c. 5 d. -5

f(x)={:{(5, x le 1) ,(a+bx,1 lt x lt 3),(b+5x,3 le x lt 5),(30,xge5):} then (a) f(x) is discontiuous AA a in R, b in R (b) f(x) is discontiuous if a=0 & b=5 (c) f(x) is discontiuous if a=5 & b=0 (d) f(x) is discontiuous if a=-5 & b=10

If the arithmetic mean of 7,\ 8,\ x ,\ 11 ,\ 14 is x , then x= (a) 9 (b) 9.5 (c) 10 (d) 10.5