Coordinate Geometry Question 127
Question: The area of the triangle formed by the lines $ 7x-2y+10=0, $
$ 7x+2y-10=0 $ and $ y+2=0 $ is
[IIT 1977]
Options:
A) 8 sq. unit
B) 12 sq. unit
C) 14 sq. unit
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
On solving the simultaneous equations, we get the vertices of triangle as (- 2, - 2), (2, - 2) and (0, 5).
Hence, area $ =\frac{1}{2} \begin{vmatrix} -2 & -2 & 1 \\ 2 & -2 & 1 \\ 0 & 5 & 1 \\ \end{vmatrix} =14sq.units. $
BETA
