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If `bx+cy=a`, there `a, b, c` are of the same sign, be a line such that the area enclosed by the line and the axes of reference is `1/8` square units, then : (A) `b,a,c` are in G.P. (B) `b, 2a, c` arein G.P. (C) `b, a/2, c` are in A.P. (D) `b, -2a, c` are in G.P.A. `b, a, c` and `G.P.`B. `b, 2a, -c` are in `G.P.`C. `b, a//2, c` are in `A.P.`D. `b, +2a, c` are in `G.P.` |
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Answer» Correct Answer - D Given equation is `bx + cy = a`, where `a,b,c` are of the intersects the axes at `A((a)/(b),0)` and `B(0,(a)/(c))` `rArr` Area enclosed between the axes and the line `= (1)/(2).(a)/(b).(a)/(c) = (a^(2))/(2bc) = (1)/(8)` `4a^(2)=bc`, so `b +- 2a,c` are in `G.P`. |
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