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Application of Derivatives
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'C' on LMV for $f(x)=x^2-3x$ in [0,1] is \[(a)\;0 \qquad(b)\;\frac{1}{2}\qquad(c)\;-\frac{1}{2}\qquad(d)\;does\;not\;exist\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q18
p17
math
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Jan 29, 2013
by
meena.p
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$f(x)=\Large\frac{x^2-1}{x^2+1} $ for every real number then minimum value of \begin{array}{1 1}(a)\;does\; not\; exist & \qquad(b)\;is\;not\;attained\;even\;though\;f\;is\;bounded\\(c)\;is\;equal\;to\;1 & \qquad(d)\;is\;equal\;to\;-1\end{array}
asked
Jan 28, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
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0
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The least value of 'a' such that the function $ f(x)=x^2+ax+1 $ is strictly increasing on (1,2) is \[(a)\;-2\qquad(b)\;2\qquad(c)\;\frac{1}{2}\qquad(d)\;-\frac{1}{2}\]
asked
Jan 29, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q24
p17
math
0
votes
0
answers
The function $ f(x)=-\Large\frac{x}{2}\normalsize+ \sin x $ is always increasing in \[(a)\;\bigg(-\frac{\pi}{2},\frac{\pi}{2}\bigg)\qquad(b)\;\bigg(0,\frac{\pi}{4}\bigg)\qquad(c)\;\bigg(\frac{\pi}{4},\frac{\pi}{2}\bigg)\qquad(d)\;\bigg(-\frac{\pi}{3},\frac{\pi}{3}\bigg)\qquad\]
asked
Jan 29, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q23
p17
math
0
votes
0
answers
If $ y=log \tan \bigg(\Large\frac{\pi}{4}+\frac{\pi}{2}\bigg)$then$\Large\frac{dy}{dx}$is\[(a)\;0 \qquad(b)\;\cos x\qquad(c)\;-\sec x\qquad(d)\;\sec x\]
asked
Jan 29, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q17
p17
math
0
votes
0
answers
The values of a and b for which the function$f(x)= \left\{ \begin{array}{1 1} ax+1 & \quad x\leq3 \\ bx+3 & \quad x>3 \end{array} \right. $ is continuous at x=3 are \[(a)\;3a+2b=5 \qquad(b)\;3a=2+3b\qquad(c)\;3,2\qquad(d)\;none\;of\;these.\]
asked
Jan 29, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q19
p17
math
0
votes
0
answers
If $ x=a(\theta-\sin \theta).y=a(1-\cos \theta) \;then\; \Large\frac{d^2y}{dx^2}\;\normalsize at\;\theta=\Large\frac{\pi}{2}\;is.$\[(a)\;\frac{1}{a}\qquad(b)\;\frac{1}{2}\qquad(c)\;-\frac{1}{a}\qquad(d)\;-\frac{1}{2a}\qquad\]
asked
Jan 29, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q16
p17
math
0
votes
0
answers
The tangent to the curve\[x=a\sqrt{\cos 2\theta} \cos\theta y=a\sqrt{cos2\theta}\sin \theta\]at the point corresponding to $ \theta =\frac{\pi}{6}$ is \begin{array}{1 1}(a)\;Parallel\; to\; the\; x-axis & \qquad (b)\;Parallel\; to\; the\; y-axis \\ (c)\;Parallel\; to\; the\; line\; y = x & \qquad(d)\;none\;of\;these\end{array}
asked
Jan 28, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q14
p17
math
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