Questions
If the straight line make a triangle of constant area with coordinate axes, then
a
a,b,c are in G.P.
b
a, c, b are in G.P.
c
c, a, b are in G.P.
d
none of these
detailed solution
Correct option is B
Line ax+by+c=0 meets the coordinate axes at A(-c/a, 0) and (0, -c/b)∴ Area of ΔOAB=12×OA×OB⇒ Area of ΔOAB=12×−ca−cb=c2Clearly, this will be constant, if a, c, b arc in G.P.Talk to our academic expert!
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The area of the triangle formed by the lines and the y-axis is equal to
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