Let 
and 
be non-zero and real numbers. Then, the equation 
represents
a)
Four straight lines, when 
and 
are of the same sign
b)
Two straight lines and a circle, when 
and 
is of sign opposite to that of 
c)
Two straight lines and hyperbola, when 
and 
are of the same sign and 
is of sign opposite to that of 
d)
A circle and an ellipse , when 
and 
are of the same sign and 
is of sign opposite to that of 
Let and be non-zero and real numbers. Then, the equation represents
a)
Four straight lines, when and are of the same sign
b)
Two straight lines and a circle, when and is of sign opposite to that of
c)
Two straight lines and hyperbola, when and are of the same sign and is of sign opposite to that of
d)
A circle and an ellipse , when and are of the same sign and is of sign opposite to that of
Question ID - 52905 | SaraNextGen Top Answer
Let and be non-zero and real numbers. Then, the equation represents
a)
Four straight lines, when and are of the same sign
b)
Two straight lines and a circle, when and is of sign opposite to that of
c)
Two straight lines and hyperbola, when and are of the same sign and is of sign opposite to that of
d)
A circle and an ellipse , when and are of the same sign and is of sign opposite to that of
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Let |
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a) |
Four straight lines, when |
b) |
Two straight lines and a circle, when |
|
c) |
Two straight lines and hyperbola, when |
d) |
A circle and an ellipse , when |
(b)
Let 
and 
be non-zero real numbers.
Therefore, the given equation
implies either
and 
Represent two straight lines passing through origin.
or 
When 
and 
and 
are of same signs, then
and
Which is a point specified as the origin.
When 
and 
is of sign opposite to that of 
, then
represents a circle.
Hence, the given equation,
may represents two straight lines and a circle.