Question

The sub tangent, ordinate and subnormal to the parabola $y^2=4ax$ at a point (different from the origin) are in

• A. AP
• B. GP
• C. HP
• D. None of these

Answer 1

The correct option is D None of these

$\because sin(x+y)=lo{g}_e(x+y)cos(x+y)(1+\frac{dy}{dx})=\frac{1}{(x+y)}(1+\frac{dy}{dx})\Rightarrow (1+\frac{dy}{dx})\left(cos\right(x+y)-\frac{1}{x+y})=0\because cos(x+y)-\frac{1}{(x+y)}\ne 0\therefore 1+\frac{dy}{dx}=0\therefore \frac{dy}{dx}=-1$