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)

Question

Vikas TU · Answer

Diifferentiating y w.r.t. x we get, 2x + 2(y+ xdy/dx) + 4ydy/dx = 0 dy/dx = -(x+y)/(x+2y) = -2 on solving, x + 3y = 0 or x = -3y put in the curve and solve we get y = + 3 and – 3 and x = -9 and +9 respectively. Hence both are the solns.

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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)

Co-ordinates of the point on the curve x²+2xy+2y²=45 at which slope of tangent is -2,is/are ?
(A) (3,0)
(B)(-9,3)
(C)(-3,1)
(D)(9,-3)

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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)

Co-ordinates of the point on the curve x2+2xy+2y2=45 at which slope of tangent is -2,is/are ?(A) (3,0)(B)(-9,3)(C)(-3,1)(D)(9,-3)

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Co-ordinates of the point on the curve x²+2xy+2y²=45 at which slope of tangent is -2,is/are ?
(A) (3,0)
(B)(-9,3)
(C)(-3,1)
(D)(9,-3)