and 
are the points of intersection with the coordinate axes of the lines 
and 
, then 
a)
from a parallelogram
b)
from a rhombus
c)
are concyclic
d)
None of these
and are the points of intersection with the coordinate axes of the lines and , then
a)
from a parallelogram
b)
from a rhombus
c)
are concyclic
d)
None of these
Question ID - 53578 | SaraNextGen Top Answer
and are the points of intersection with the coordinate axes of the lines and , then
a)
from a parallelogram
b)
from a rhombus
c)
are concyclic
d)
None of these
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a) |
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b) |
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c) |
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d) |
None of these |
1 Answer
127 votes
Answer Key / Explanation : (c) -
(c)
If the point of intersection of two lines with coordinate axes be concylic, then product of intercepts on 
-axis is equal to product of intercepts on 
-axis by these lines. This is a geometric property. The intercepts on 
-axis are 
and 
and whose product is 
. Also, the intercepts on 
-axis are 
, and 
, whose product is also 
. Hence, the four points are concylic
127 votes
Answer Link
127