1ok thanku nishant sir and mani.....i got it :)
Ques) If A (1,2) ; B (3,4) and C (x,y) be a point such that (x-1) (x-3) + (y-2) (y-4) = 0. If areas of triangle ABC =1 then the max no. of positions of C in XY plane is
(a) 4 (b) 3 (c) 2 (d) none
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5 Answers
62THink of it like this
area of triangle with a fixeed base is 1
the third point moves along a circle
so the number of such points will be 4
62draw a circle with diameter as AB
the equation (x-1)(x-3)+(y-2)(y-4) is that of the circle with diameter as AB
so the third point x is a poijnt on this circle..
Now answer the same question using geometry :)
