Question

X^2+y^2=36 is a function or not .why?

Answer 1

Answer:

No

Step-by-step explanation:

A function is a relation between sets that associates to every element of a first set exactly one element of the second set.

i.e for a particular value of X there should be only one value of y.

Graphically, no vertical line should cut the graph twice.

x²+y² = 36

this is not a function.

for X=0 , y = +6,-6

for X=1, y = √35,-√35

i.e. for every X we R getting two values of y. so this is not a function.

graphically, this is a equation of circle, there are many vertical lines which will cut the graph twice....