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251.

If the slope of tangent to the curve at every point on it is `(-2xy)/(x^(2)+1)`, then the equation of curve passing throgh the point (1,2) isA. `x^(2)y+y+4=0`B. `x^(2)y-y-4=0`C. `x^(2)y-y+4=0`D. `x^(2)y+y-4=0`

Answer» Correct Answer - D
252.

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .A. `y+2(x+1)=2e^(x)`B. `y-2(x+1)=2e^(x)`C. `y+2(x+1)=e^(x)`D. `y-2(x+1)=e^(x)`

Answer» Correct Answer - A
253.

If the slope of the tangent is equal to the square of tha abscissa of the point on the curve, then the differential equation isA. `(dy)/(dx)=kx^(2)`B. `(dy)/(dx)=x^(2)`C. `(dx)/(dy)=kx^(2)`D. `(dx)/(dy)=x^(2)`

Answer» Correct Answer - B