| DIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (ONLY ONE option is correct) from the following- |
| Statement-1: The line\[\frac{x}{a}+\frac{y}{b}=1\]touches the curve\[y=b{{e}^{-x/a}}\]at some point\[x={{x}_{0}}\] because |
| 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; Statement-2 is a correct explanation for Statement-1.
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a 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.
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