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Recent questions tagged q3-a
Questions
Using properties of determinants,find the value of the following determinant : $\begin{vmatrix}x^3 & x^2 & x\\y^3 & y^2 & y\\z^3 & z^2 & z\end{vmatrix}$.
isc
class12
modelpaper
2003
part-2
sec-a
q3
q3-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
If $A=\begin{pmatrix}3 & -4\\1 & -1\end{pmatrix}$,show by mathematical induction that for any positive integer n, $A^n=\begin{pmatrix}1+2n&-4n\\n &1-2n\end{pmatrix}$
isc
class12
modelpaper
2004
part-2
sec-a
q3
q3-a
asked
Apr 18, 2013
by
sreemathi.v
0
answers
The equation $2x^2-3xy-py^2+x+qy=0$ represents two perpendicular lines.Find the values of $p$ and $q$.
isc
class12
modelpaper
2005
sec-a
q3
q3-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
Show that the equation $x^2-3xy+2y^2+3x-5y+2=0$ represents two straight lines.Find the angle between them.
isc
class12
modelpaper
2006
sec-a
q3
q3-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
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.
isc
class12
modelpaper
2007
sec-a
q3
q3-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
(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.
isc
class12
modelpaper
2008
sec-a
q3
q3-a
asked
Apr 15, 2013
by
sreemathi.v
1
answer
Prove that the following equation represents a pair of straight lines.Find their point of intersection and the angle between them :$2x^2+7xy+3y^2+2(4x+7y+4)=0.$
isc
class12
modelpaper
2009
sec-a
q3
q3-a
asked
Apr 12, 2013
by
sreemathi.v
0
answers
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.
isc
class12
modelpaper
2010
sec-a
q3
q3-a
asked
Apr 11, 2013
by
sreemathi.v
2
answers
Prove that : $2Tan^{-1}\large\frac{1}{5}\normalsize+Cos^{-1}\large\frac{7}{5\sqrt 2}\normalsize+2Tan^{-1}\large\frac{1}{8}=\large \frac{\pi}{4}$
isc
class12
modelpaper
2011
sec-a
q3
q3-a
asked
Apr 11, 2013
by
sreemathi.v
0
answers
Prove that : $cos^{-1}\frac{63}{65}+2tan^{-1}\frac{1}{5}=sin^{-1}\frac{3}{5}$
isc
class12
modelpaper
2012
sec-a
q3
q3-a
asked
Apr 10, 2013
by
sreemathi.v
0
answers
Find the Cartesian equation of the plane $\;(a)\; \overrightarrow r. (\hat i + \hat j - \hat k) = 2$
cbse
class12
bookproblem
ch11
sec3
q3
q3-a
p493
easy
sec-a
math
asked
Dec 15, 2012
by
thanvigandhi_1
1
answer
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