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The tangent and normal to the curve y=4√(x+2) at the point P(7,12) cut the x axis at M and N respectively.Calculate the area of the triangle PMN.

Two points have coordinates A(3,1) and B(-1,5).Calculate the coordinates of P if P is on the x-axis and is equidistant from A and from B.If the figure APBQ is a rhombus,find the coordinates of Q....

Show that the equation of the perpendicular bisector of the points (t, t+1) and (3t, t+3) is y+tx=2t^2+t+2.If this perpendicular bisector passes through the point (5,2),calculate...

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