Question -
Answer -
Let x and y bethe x-coordinate and y-coordinate of the curverespectively.
Weknow that the slope of a tangent to the curve in the coordinate axis is givenby the relation,
Accordingto the given information, we get:
Integratingboth sides, we get:
Now,the curve passes through point (0, –2).
∴ (–2)2 – 02 = 2C
⇒ 2C = 4
Substituting2C = 4 in equation (1), we get:
y2 – x2 = 4
Thisis the required equation of the curve.