| Statement 1: The line \[\frac{x}{a}+\frac{y}{b}=1\] touches the curve \[y=b{{e}^{-x/a}}\] at some point \[x={{x}_{0}}.\] |
| Statement 2: \[\frac{dy}{dx}\] exists at \[x={{x}_{0}}\]. |
A) Statement-1 is false, Statement-2 is true.
B) Statement-1 is true.statement-2 is true and statement- is correct explanation for statement-1
C) Statement-1 is true, statement-2 is true and statement-2 is NOT correct explanation for statement-1
D) Statement-1 is true, Statement-2 is false.
Correct Answer: C
Solution :
Line touches the curve at (0, b) and \[={{\left. \frac{dy}{dx} \right]}_{x=0}}\]also exists but even if \[\frac{dy}{dx}\] fails to exist tangents line can be drawn.
You need to login to perform this action.
You will be redirected in
3 sec
