Question

If $x = a \sin t - b \cos t$ and $y = a \cos t + b \sin t$, and it is given that $\frac{d^2y}{dx^2} = 0$, then:

• A. $y = \text{constant}$
• B. $y = x$
• C. $y = ax + b$
• D. $y = x + c$

Hint:

Whenever the second derivative is zero, the curve is a straight line.

Answer 1

The Correct Option is C