If `X={x|x in R x^2+1=0}` then

If A={x in R:x^(2)+6x-7 0} then which of the following is/ or correct 1)A nn B={x varepsilon R:-2

A= {(x,y) in R^2 : x ne0 and y=(1/x)} and B= {(x,y) in R^2:y=-x} then A capB is equal to

If P = {x | x^2 - 10x + 16 = 0} , Q = {x | x^2 - 7x + 10 = 0} , R = {x | x^2 + 6x - 16 = 0} and x is universal set where x = {-2, -1, 0, 1, 2, 5, 8} then find Q nn R

If P = {x | x^2 - 10x + 16 = 0} , Q = {x | x^2 - 7x + 10 = 0} , R = {x | x^2 + 6x - 16 = 0} and x is universal set where x = {-2, -1, 0, 1, 2, 5, 8} then find (P uu R)'

If P = {x | x^2 - 10x + 16 = 0} , Q = {x | x^2 - 7x + 10 = 0} , R = {x | x^2 + 6x - 16 = 0} and x is universal set where x = {-2, -1, 0, 1, 2, 5, 8} then find (Q' nn R')

Let f : R rarr R be defined as f(x) = {{:((x^(3))/((1-cos 2x)^(2)) log_(e)((1+2x e^(-2x))/((1-x e^(-x))^(2))),",",x ne 0),(alpha,",", x =0):} . If f is continuous at x = 0, then alpha is equal to :

If V = {x: x+2=0} R= {x: x^2+2x =0} S= {x: x^2+x-2=0} . then for what value of x, V=R=S?

Let A={x : x in R,-1 lt x lt 1} , B={x : x in R, x le0 or x ge 2} and AuuB=R-D , then find set D

Let A={x : x in R,-1 lt x lt 1} , B={x : x in R, x le0 or x ge 2} and AuuB=R-D , then find set D

Deine F(x) as the product of two real functions f_1(x) = x, x in R, and f_2(x) ={ sin (1/x), if x !=0, 0 if x=0 follows : F(x) = { f_1(x).f_2(x) if x !=0, 0, if x = 0. Statement-1 : F(x) is continuous on R. Statement-2 : f_1(x) and f_2(x) are continuous on R.