The center of a circle is at (2, −5) and its radius is 12. what is the equation of the circle? a) (x−2)2+(y+5)2=24 b) (x+2)2+(y−5)2=24 c) (x+2)2+(y−5)2=144 d) (x−2)2+(y+5)2=144

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.