2x y 2xy 0 is y 6 0 0 0 0 x 1 ft y t dt x 0 is 0 2 y 1 ger 4 cx ex slope of tangent at any of the abscissa to the and yil 19 citr ercepts of a tangent at double of the x and y e of whose tangent at hich passes through 1 off between origin and tangent abscissa of point of contact is kx3 1 y C 3 et 3 kx 3 y 2 15 A curve y f x passes through point P 1 1 The normal to curve at point P is a y 1 x 1 0 If slope of tangent at any point on curve is proportional to ordinate at that point then equation of curve is 1 y eax 1 2 y eax 1 3 y e x a 4 y e x 1 X C dy dx The foci of the curve which satisfies the equation 1 y dx xy dy 0 and passes through the point 1 0 are palang 1 2 0 2 0 2 3 2 0 4 0 2 2 The general solution of the equation kx3 2 SECTION B Objective Type Questions One or more than one option s is are correct dy dx 2 y y In y x is CX kx cx 3 2 4 y x y 1 y xet cx V y xet cx 3 y xe ex 4 y xecx The equation of the curve passing through 3 4 anc satisfying the differential equation dy x 0 can be dx
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