Question

if a=2,-3 B=5,y and AB=5 then Y=?​

Answer 1

Answer:

Correct option is

B

5,−2

Distance formula between to points A(x

1

,y

1

) and B(x

2

,y

2

) is equal to

AB=

(y

2

−y

1

)

2

+(x

2

−x

1

)

2

According to the given condition,

5=

(y−2)

2

+(1−y)

2

⇒25=y

2

+4+y

2

+1−4y−2y

⇒2y

2

−6y−20=0

⇒y

2

−3y−10=0

⇒y

2

−5y+2y−10=0

⇒y(y−5)+2(y−5)=0

⇒y=5,−2

Hence option (B) is correct