Math, asked by VedaArmyBlink, 9 hours ago

If A(4,2) B(1, y) and AB=5 then y=
a)6 and -2
b) -6 and 2
c) +/-6
d) +/-2
Please show the process

Related to Coordinate Geometry​

Answers

Answered by nishankumarmmk
0

Step-by-step explanation:

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

Answered by raghu2007688
1

Answer:

y will be equal to +/-6

Step-by-step explanation:

Given,

A = (4,2), B = (1,y), AB = 5

using the distance formula

AB = [ (x2 - x1)^2 - (y2 - y1)^2 ]^1/2

substitute the values

5 = [ (1 - 4)^2 + (y - 2)^2 ]^1/2

5 = [ (-3)^2 + (y - 2)^2]^1/2

(5)^2 = 9 + (y - 2)^2

25 -9 = ( y - 2)^2

16 = ( y - 2)^2

(16)^1/2 = y - 2

4 = y - 2

y = 6

Therefore, y = +/-6

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