Find the coordinates of the point on y-axis which is nearest to the point (-2,5).
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1. Answer:

   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

   x1=−2,y1=5

   x2=0,y2=a

   AB=(x2−x1)2+(y2−y1)2=(0−(−2))2+(a−5)2

   =22+(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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