CircleHard
Question
The normal to a curve at P(x, y) meets the x-axis at G. If the distance of G from the origin is twice the abscissa of P, then the curve is a
Options
A.ellipse
B.parabola
C.circle
D.hyperbola
Solution
Equation of normal is Y - y = - 
(X - x)
⇒ G ≡
⇒ y
= x or y = - 3y
y dy = x dx or ydy = - 3xdx
x2 - y2 = - 2c or 3x2 + y2 = 2c.
(X - x)⇒ G ≡
⇒ y
= x or y = - 3yy dy = x dx or ydy = - 3xdx
x2 - y2 = - 2c or 3x2 + y2 = 2c.
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