Family whose x and y intercepts of a tangent at any point are respectively double of x and y coordinates of that point is

1) xy=c 2)x^2 + y^2=c 3) x^2 – y^2-c 4) none

Ans:
Hello Student,
Please find answer to your question below


For the slope of tangent at (x₁, y₁)


Equation of tangent:


X & Y intercept:

So intercept is twice the x, y coordinates of the point.