find the distance between the points (2,0) and (5,a) is 3√2 find the value of a
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Answer:
Given A(2,−3)&B(10,y) and AB=10
Distance between two points
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
∴10=
(10−2)
2
+(y+3)
2
Squaring both sides
⇒100=64+9+6y+y
2
⇒y
2
+6y−27=0
⇒y(y+9)−3(y+9)=0
⇒y=−9,3
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