The number of possible straight lines, passing through (2, 3) and forming a triangle with coordinate axes, whose area is 12 sq. units, is
a)
One
b)
Two
c)
Three
d)
Four
The number of possible straight lines, passing through (2, 3) and forming a triangle with coordinate axes, whose area is 12 sq. units, is
a)
One
b)
Two
c)
Three
d)
Four
Question ID - 52924 | SaraNextGen Top Answer
The number of possible straight lines, passing through (2, 3) and forming a triangle with coordinate axes, whose area is 12 sq. units, is
a)
One
b)
Two
c)
Three
d)
Four
|
The number of possible straight lines, passing through (2, 3) and forming a triangle with coordinate axes, whose area is 12 sq. units, is |
|||||||
|
a) |
One |
b) |
Two |
c) |
Three |
d) |
Four |
1 Answer
127 votes
Answer Key / Explanation : (c) -
(c)
Equating of any line through (2, 3) is
From the figure, area of 
is 
. That is,
.png)
Taking positive sign, we get
. This gives one value of 
as 
. Taking negative sign, we get
This is a quadratic in 
which gives two values of 
. Hence, three straight lines are possible
127 votes
Answer Link
127