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The area (in square units) of the region bounded by the parabola y2=4(x-2) and the line y=2x-8, is :
(3) 9
Line: x= y+82; parabola: x= y24+2
y+82= y24+2 y2-2y-8=0 y=-2, 4
[figure]
for -2<y<4 the line is right of the parabola:
Area = -24 [ y+82- ( y24+2 ) ]dy= [ y24+2y- y312 ]-24
= 203- (- 73 )=9
Answer: (3)
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