7.) Find the coordinates of the point on y-axis which is nearest to the point (-2,
In triangles ABC and DEF, ZB = ZE, ZF = 4C and AB = 3DE. Then, what
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Step-by-step explanation:
Let A(−2,5)
Since the required point is in y−axis, its x−coordinate will be zero
Let requrid point=B(0,a)
We need to find coordinates of point B such that distance AB is minimum
Finding AB
x
1
=−2,y
1
=5
x
2
=0,y
2
=a
AB=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
=
(0−(−2))
2
+(a−5)
2
=
2
2
+(a−5)
2
=
(6)
2
+(a−5)
2
Now AB is last when a−5=0
i.e a=5
So coordinate of required point=(0,5)
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