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Prove that : $2Tan^{-1}\large\frac{1}{5}\normalsize+Cos^{-1}\large\frac{7}{5\sqrt 2}\normalsize+2Tan^{-1}\large\frac{1}{8}=\large \frac{\pi}{4}$
This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com
isc
class12
modelpaper
2011
sec-a
q3
q3-a
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Apr 11, 2013
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sreemathi.v
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Prove that : $cos^{-1}\frac{63}{65}+2tan^{-1}\frac{1}{5}=sin^{-1}\frac{3}{5}$
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Using Rolle's theorem,find a point on the curve $y=\sin x+\cos x-1,x\in \begin{bmatrix}0,\large\frac{\pi}{2}\end{bmatrix}$ where the tangent is parallel to the x-axis.
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2010
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Prove that the following equation represents a pair of straight lines.Find their point of intersection and the angle between them :$2x^2+7xy+3y^2+2(4x+7y+4)=0.$
asked
Apr 12, 2013
by
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isc
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If $A=\begin{pmatrix}3 & -4\\1 & -1\end{pmatrix}$,show by mathematical induction that for any positive integer n, $A^n=\begin{pmatrix}1+2n&-4n\\n &1-2n\end{pmatrix}$
asked
Apr 18, 2013
by
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isc
class12
modelpaper
2004
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sec-a
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0
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Show that the equation $x^2-3xy+2y^2+3x-5y+2=0$ represents two straight lines.Find the angle between them.
asked
Apr 16, 2013
by
sreemathi.v
isc
class12
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2006
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0
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0
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Find the value of 'k' so that the second degree equation $12x^2-10xy+ky^2+14x-5y+2=0$ may represent a pair of straight lines.For this value of 'k' find the angle between the lines represented by the above equation.
asked
Apr 16, 2013
by
sreemathi.v
isc
class12
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2007
sec-a
q3
q3-a
0
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0
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(i) Show that the second degree equations $x^2-5xy+4y^2+x+2y-2=0$ represents a pair of straight lines.(ii) Find the equations of the individual lines and their point of intersection.
asked
Apr 15, 2013
by
sreemathi.v
isc
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2008
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