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Since both points lie on the circle, so, length AO is equal to length BO. since both are the radius of given circle.

By applying distance formula,

(2-(-1))² + (y-(-3y))²= (5-2)² + (7-(-3y))²

⇒9+16y² =9 +(7+3y)²

⇒16y²=49+9y²+42y

⇒7y²-42y-49=0

⇒y²-6y-7=0

⇒y²-7y+y-7=0

⇒y(y-7)+1(y-7)=0

(y-7)=0 or (y+1)=0

y=7 or -1

let me know, if there is any doubt regarding this explaination :)

By applying distance formula,

(2-(-1))² + (y-(-3y))²= (5-2)² + (7-(-3y))²

⇒9+16y² =9 +(7+3y)²

⇒16y²=49+9y²+42y

⇒7y²-42y-49=0

⇒y²-6y-7=0

⇒y²-7y+y-7=0

⇒y(y-7)+1(y-7)=0

(y-7)=0 or (y+1)=0

y=7 or -1

let me know, if there is any doubt regarding this explaination :)

Question

SECONDARY SCHOOL MATH 5+3 PTS

One bad apple is accidentally mixed with some good apples in a basket. As a result of which 25% of the total apples go bad. Now the number of good apples

in the basket is 30. Find the number of good apples kept in the basket previously. What will happen if one bad person is mixed with some good ones?