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Q.

Let A(a,b)  and B(c,d)  where c>a>0  and d>b>0 , then the point C on the x-axis such that  AC+BC is the minimum is:

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a

(bcadbd,0)

b

(ac+bdb+d,0)

c

(acbdba,0)

d

(ad+bcb+d,0)

answer is D.

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Detailed Solution

detailed_solution_thumbnail

Image of ‘A’ w.r.t x-axis is  A'(ab) equation of  A'B
 y+b=d+bca(xa)       (1)
solving (1) with x-axis
we at required point C(ad+bcb+d,0)

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