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Co-ordinates of the point on the curve x 2 +2xy+2y 2 =45 at which slope of tangent is -2,is/are ? (A) (3,0) (B)(-9,3) (C)(-3,1) (D)(9,-3)
Diifferentiating y w.r.t. x we get,2x + 2(y+ xdy/dx) + 4ydy/dx = 0dy/dx = -(x+y)/(x+2y) = -2on solving,x + 3y = 0orx = -3yput in the curve and solve we gety = + 3 and – 3and x = -9 and +9 respectively.Hence both are the solns.
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