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Find the value(s) of $x$ for which $y = [x(x-2)]^2$ is an increasing function.
modelpaper-2014-chennai
cbse
class12
math
sec-b
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asked
Mar 25, 2014
by
thanvigandhi_1
retagged
Mar 27, 2014
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If the function $ f : R \rightarrow R $ be given by $ f(x) = x^2+2$ and $ g : R \rightarrow R $ be given by $ g(x) = \large\frac{x}{x-1} , x \neq 1$, find fog and gof and hence find fog (2) and gof (-3)
asked
Mar 25, 2014
by
thanvigandhi_1
modelpaper-2014-chennai
cbse
class12
math
sec-b
0
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answers
If $ \begin{bmatrix} x-y & z \\[0.3em] 2x-y & w \end{bmatrix} =\begin{bmatrix} -1 & 4 \\[0.3em] 0 & 5 \end{bmatrix} $, find the value of $X$ and $Y$
asked
Mar 25, 2014
by
thanvigandhi_1
modelpaper-2014-chennai
cbse
class12
math
sec-a
0
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0
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If $ \begin{bmatrix} 3x & 7 \\[0.3em] -2 & 4 \end{bmatrix} = \begin{bmatrix} 8 & 7 \\[0.3em] 6 & 4 \end{bmatrix}$, find the value of $x$.
asked
Mar 25, 2014
by
thanvigandhi_1
modelpaper-2014-chennai
cbse
class12
math
sec-a
0
votes
0
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Find the value of p, so that the lines $ l_1 : \large\frac{1-x}{3} $$= \large\frac{7y-14}{p} $$= \large\frac{z-3}{2}$ and $l_2 : \large\frac{7-7x}{3p} $$= \large\frac{y-5}{1} $$ = \large\frac{6-z}{5}$ are perpendicular to each other. Also find the equations of a line passing through a point ( 3, 2, -4 ) and parallel to line $l_1$.
asked
Mar 25, 2014
by
thanvigandhi_1
modelpaper-2014-chennai
cbse
class12
math
sec-b
0
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1
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If $ x = \cos\: t ( 3-2 \: \cos^2 t)\: and \: y = \sin \: t ( 3-2 \sin^2\: t)$ find the value of $ \large\frac{dy}{dx} $ at $ t = \large\frac{\pi}{4}$
asked
Mar 25, 2014
by
thanvigandhi_1
modelpaper-2014-chennai
cbse
class12
math
sec-b
q20
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0
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If $ \tan^{-1} \bigg( \large\frac{x-2}{x-4} \bigg) $$+ \tan^{-1} \bigg( \large\frac{x+2}{x+4} \bigg) $$ = \large\frac{\pi}{4}$ find the value of x.
asked
Mar 25, 2014
by
thanvigandhi_1
modelpaper-2014-chennai
cbse
class12
math
sec-b
0
votes
0
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Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. The school A wants to award Rs.x each, Rs.y each and Rs.z each for the three respective values to 3,2 and 1 students respectively with a total award money of Rs. 1,600. School B wants to spend Rs. 2,300 to award its 4, 1 and 3 students on the respective values ( by giving the same award money to the three values as before ). If the total amount of award for one prize on each value is Rs. 900 using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.
asked
Mar 25, 2014
by
thanvigandhi_1
modelpaper-2014-chennai
cbse
class12
math
sec-c
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