The area of the isosceles triangle formed by the lines 7x−2y+10=0,7x+2y−10=0 and y+2=0 is
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a
7 sq. units
b
28 sq. units
c
14 sq. units
d
14 sq. units
answer is C.
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Detailed Solution
Since the slopes of two sides are 72 and −72 they are equally inclined to the x-axis and hence to y+2=0 . The vertex is (0,5) , the coordinates of the ends of the base are (−2,−2) and (2,−2) . ∴ base =4 and altitude =5+2=7. ∴ area =12×4×7=14 sq.units.