Created by T Madas Question 285 (*****) The point P lies on the curve with equation y = x , so that its distance from the point A (10, ) is least Determine the coordinates of P and the distance AP P ( 2, ) , d = 17 Created by T Madas Created by T Madas Question 286 (*****) The curve with equation y = x , x ∈ » , is translated parallel to the x axis, so that R denotes the area of the finite region bounded by the coordinated axes, the curve and the straight line with equation x = Determine the least value of R MP1-S , Created by T Madas Created by T Madas Question 287 (*****) y y = A− xp −2 x O y = B − xq The figure above shows the curves with equations y = A − x p and y = B − x q , where A and B are positive constants with A > B , and p and q are positive integers with p + q = Both curves meet the x axis at the points ( −2,0 ) and ( 2,0 ) Find the exact value of the area bounded between the two curves SP-Q , area = Created by T Madas 4384 21 ...Created by T Madas Question 286 (*****) The curve with equation y = x , x ∈ » , is translated parallel to the x axis, so that