A) -1 done clear
B) 1 done clear
C) 0 done clear
D) none of these done clear
View Solution play_arrowA) \[\frac{x}{a}-\frac{y}{b}=1\] done clear
B) \[ax+by=1\] done clear
C) \[ax-by=1\] done clear
D) \[\frac{x}{a}+\frac{y}{b}=1\] done clear
View Solution play_arrowA) 9 done clear
B) \[-\,5\] done clear
C) 7 done clear
D) \[-\,7\] done clear
View Solution play_arrowA) \[\left( -\frac{22}{9},-\frac{2}{9} \right)\] done clear
B) \[\left( \frac{22}{9},\frac{2}{9} \right)\] done clear
C) \[\left( -\,2,\,\,-2 \right)\] done clear
D) none of these done clear
View Solution play_arrowA) 27\[{{c}^{3}}\] done clear
B) \[\frac{4}{27}{{c}^{3}}\] done clear
C) \[\frac{27}{4}{{c}^{3}}\] done clear
D) \[\frac{4}{9}{{c}^{3}}\] done clear
View Solution play_arrowA) 45/2 done clear
B) 49/2 done clear
C) 25/2 done clear
D) 81/2 done clear
View Solution play_arrowA) 9 done clear
B) 12 done clear
C) 15 done clear
D) 19 done clear
View Solution play_arrowA) \[\frac{5\sqrt{3}}{2}\] done clear
B) \[\frac{5\sqrt{5}}{2}\] done clear
C) \[\frac{2\sqrt{5}}{3}\] done clear
D) \[\frac{3\sqrt{5}}{2}\] done clear
View Solution play_arrowA) 1 done clear
B) 3 done clear
C) \[-\,2\] done clear
D) \[-\,1\] done clear
View Solution play_arrowA) \[\frac{\pi }{6}\] done clear
B) \[\frac{\pi }{4}\] done clear
C) \[\frac{\pi }{3}\] done clear
D) \[\frac{\pi }{2}\] done clear
View Solution play_arrowA) \[-\,3,\text{ }2\] done clear
B) \[2,\,\,-4\] done clear
C) 1, 6 done clear
D) none of these done clear
View Solution play_arrowA) \[f''(x)=2\forall x\in (1,3)\] done clear
B) \[f''(x)=f'(x)=5\] for some \[x\in (2,3)\] done clear
C) \[f''(x)=3\,\forall \,x\in (2,\,\,3)\] done clear
D) \[f''(x)=2\] for some \[x\in (1,3)\] done clear
View Solution play_arrowA) \[-\frac{5{{\ell }_{2}}}{2}m/s\] done clear
B) \[-\frac{2{{\ell }_{2}}}{5}m/s\] done clear
C) \[-\frac{{{\ell }_{2}}}{2}m/s\] done clear
D) \[-\frac{{{\ell }_{2}}}{5}m/s\] done clear
View Solution play_arrowquestion_answer14) In which of the following function is rolle's theorem applicable?
A) \[f(x)=\left\{ \begin{matrix} x,\, \\ 0,\, \\ \end{matrix} \right.\,\begin{matrix} \,\,\,\,\,0\le x<1 \\ x=1 \\ \end{matrix}\] on [0, 1] done clear
B) \[f(x)=\left\{ \begin{matrix} \frac{\sin x}{x},\, \\ 1,\, \\ \end{matrix} \right.\,\,\,\,\begin{matrix} -\pi \le x<0 \\ x=0 \\ \end{matrix}\] on [-\[\pi \],0] done clear
C) \[f(x)=\frac{{{x}^{2}}-x-6}{x-1}\] on [-2, 3] done clear
D) \[f(x)=\left\{ \begin{matrix} \frac{{{x}^{3}}-2{{x}^{2}}-5x+6}{x-1},\,\,\,if\,\,x\ne 1, \\ -\,6,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,if\,x=1 \\ \end{matrix} \right.\]on [-2, 3] done clear
View Solution play_arrowA) f'(x) =0 for all x done clear
B) f'(x)+4g'(x)=0 for at least one x done clear
C) f'(x)=2g'(x) for at most done x done clear
D) none of these done clear
View Solution play_arrowA) \[-2\pi \] done clear
B) \[-\frac{8\pi }{5}\] done clear
C) \[-\frac{3\pi }{5}\] done clear
D) \[\frac{2\pi }{5}\] done clear
View Solution play_arrowA) \[{{(x-1)}^{2}}\] done clear
B) \[{{(x-1)}^{3}}\] done clear
C) \[{{(x+1)}^{3}}\] done clear
D) \[{{(x+1)}^{2}}\] done clear
View Solution play_arrowA) (0, 1) done clear
B) (1, 3) done clear
C) (2, 3) done clear
D) (1, 3) done clear
View Solution play_arrowA) (2, 4) done clear
B) (2, -4) done clear
C) \[\left( \frac{-9}{8},\frac{9}{2} \right)\] done clear
D) \[\left( \frac{9}{8},\frac{9}{2} \right)\] done clear
View Solution play_arrowA) a - b done clear
B) a+b done clear
C) \[\sqrt{{{a}^{2}}+{{b}^{2}}}\] done clear
D) \[\sqrt{{{a}^{2}}-{{b}^{2}}}\] done clear
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