The normal to a curve at meets the
axis at
. If the distance of
from the origin is twice the abscissa of
, then the curve is a
circle
hyperbola
ellipse
parabola
As we learnt in
Slope of a line -
- wherein
Slope of line joining A(x1,y1) and B(x2,y2) .
If slope of tangent =
We get as equation of normal.
If normal meets x-axis again, we get:
Distance of QG = 2 (abscissa of P)
i.e.,
Generalising
which is a Hyperbola.
Option 1)
circle
This option is incorrect.
Option 2)
hyperbola
This option is correct.
Option 3)
ellipse
This option is incorrect.
Option 4)
parabola
This option is incorrect.
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