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Recent questions tagged part-2
Questions
Find the equation of a plane through the point (-1,-1,2) and perpendicular to the planes $3x+2y-3z=1$ and $5x-4y+z=5.$
isc
class12
modelpaper
2004
part-2
sec-a
q4
q4-b
asked
Apr 18, 2013
by
sreemathi.v
0
answers
Find the radius of the circular section of the sphere $x^2+y^2+z^2=49$ cut by a plane $2x+3y-z-5\sqrt{14}=0.$
isc
class12
modelpaper
2004
part-2
sec-a
q4
q4-a
asked
Apr 18, 2013
by
sreemathi.v
0
answers
Find the equation of a pair of straight lines represented by $8x^2+8xy+2y^2+26x+13y+5=0$ and show that the angle between them is $0^{\circ}$.
isc
class12
modelpaper
2004
part-2
sec-a
q3
q3-b
asked
Apr 18, 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
If $C_0,C_1,C_2..........C_n$ denote the coefficient of successive terms in the expansion of the binomial $(1+x)^n$ prove that $C_0+C_2+C_4+.........=C_1+C_3+C_5+.....=2^{n-1}$
isc
class12
modelpaper
2004
part-2
sec-a
q2
q2-b
asked
Apr 18, 2013
by
sreemathi.v
0
answers
If $x\neq y\neq z$ and $\begin{vmatrix}x& x^2 & 1+x^3\\y & y & 1+y^3\\z & z^2 & 1+z^3\end{vmatrix}=0$.Then show that $xyz=-1$.
isc
class12
modelpaper
2004
part-2
sec-a
q2
q2-a
asked
Apr 18, 2013
by
sreemathi.v
0
answers
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