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Let $\;f(x)=x|x|\;,g(x)=sinx\;$ and $\;h(x) =(gof)(x)\;$.Then
(a) $\;h(x)\;$ is not differential at $\;x=0\;$\[\](b) $\;h(x)\;$ is differential at $\;x=0\;$ but $\;h^{'}(x)\;$ is not continuous at $\;x=0\;$\[\](c) $\;h(x)\;$ is continuous at $\;x=0\;$ but $\;h^{'}(x)\;$ is not differential at $\;x=0\;$\[\](d) $h^{'}(x)\;$ is differential at $\;x=0\;$
jeemain
mathematics
2014
set-11
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asked
May 10, 2014
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yamini.v
edited
May 10, 2014
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May 8, 2014
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2014
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May 10, 2014
by
yamini.v
jeemain
mathematics
2014
set-11
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Let $\;L_{1}\;$ be the length of the common chord of the curves $\;x^{2}+y^{2}=9\;$ and $\;y^{2}=8x\;$ , and $\;L_{2}\;$ be the length of the latus rectum of $\;y^{2}=8x\;$, then :
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May 10, 2014
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yamini.v
jeemain
mathematics
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Let for $\;i=1,2,3,p_{i}x\;$ be a polynomial of degree 2 in $\;x,p_{i}^{'}x,p_{i}^{''}x\;$ be the first and second order derivatives of $\;p_{i}x\;$ respectively . Let , $\;A(x) = \begin{bmatrix} p_{1}(x)&p_{1}^{'}(x)&p_{1}^{''}(x) \\[0.3em] p_{2}(x)&p_{2}^{'}(x)&p_{2}^{''}(x) \\[0.3em] p_{3}(x)&p_{}^{'}(x)&p_{3}^{''}(x) \end{bmatrix}\;$ and $\;B(x) =[A(x)]^{T}A(x) \;$.Then determinant of $\;B(x)\;$ :
asked
May 8, 2014
by
yamini.v
jeemain
mathematics
2014
set-11
0
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May 10, 2014
by
yamini.v
jeemain
mathematics
2014
set-11
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May 10, 2014
by
yamini.v
jeemain
mathematics
2014
set-11
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asked
May 8, 2014
by
yamini.v
jeemain
mathematics
2014
set-11
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