In Circle O, tangent PN and secant PMQ are drawn to the circle from exterior point o. If PM=8 and MQ=7 then which of the following is the length of PN? (1) 2 square root 14
(2) square root 105
(3) 2 square root 30
(4) 7.5

show us the graphs dude

step-by-step explanation:

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.

the answer is 1/4

step-by-step explanation: