The number of possible straight lines, passing through (2, 3) and forming a triangle with coordinate axes, whose area is 12 sq. units, is |
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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

**(c)**

Equating of any line through (2, 3) is

From the figure, area of is . That is,

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

127