What is the meaning of the word condition in this sentence?

Which techniques best describe the tone the author is using in this passage?

Find the center and the radius of the circle with the equation: x^-2x+y^2+4y+1=0

Which passage is the best example of deductive reasoning? a. aaron wants to try something new for lunch. he asks his coworkers what they like and then decides where to eat b. everyone in mr. kim’s class got an a on the test. casey is in mr. kim’s class, so he must have received an a on the test. c. petra sees that all the kids at her school walk home. tomorrow she will tell her mother she doesn’t need a ride home. d. saul is buying a present for his sister. he asks his mother for suggestions and then goes to the mall to find something.