Q.

The straight line whose sum of the intercepts on the axes is equal to half of the product of the intercepts, passes through the point

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a

(1, 1)

b

(2,2)

c

(3,3)

d

(4,4)

answer is B.

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Detailed Solution

a+b=ab2⇒2a+2b=ab Let line is xa+xb=1⇒bx+ay=ab⇒    bx+ay=2a+2b⇒    b(x−2)+a(y−2)=0So, line passes through fixed point(2,2).
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