Find the distance between the points
(1) A(at1^2, 2at1) and B(at2^2, 2at2)
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Distance between A(a t1^2, 2at1) and B(a t2^2 ,2at2)
=√[(2at2-2at1)^2 + (at2^2 - a t1^2)^2]
=√( 4a^2 (t2-t1)^2 + a^2( t2^2 -t1^2)^2]
= a √(4(t2-t1)^2 + (t2-t1)( t2+t1)]
=a √(t2-t1) √(4t2- 4t1 + t2+t1)
= a√(t2-t1) √(5t2 -3t1)
#answerwithquality #BAL
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