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ISC XII Math
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Model Papers
The equation $2x^2-3xy-py^2+x+qy=0$ represents two perpendicular lines.Find the values of $p$ and $q$.
This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com
isc
class12
modelpaper
2005
sec-a
q3
q3-a
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asked
Apr 17, 2013
by
sreemathi.v
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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.
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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 :$2x^2+7xy+3y^2+2(4x+7y+4)=0.$
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Find the angle and the equation of the bisectors of the angle between the pair of lines given by $2x^2-7xy+3y^2=0$.
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Using properties of determinants,find the value of the following determinant : $\begin{vmatrix}x^3 & x^2 & x\\y^3 & y^2 & y\\z^3 & z^2 & z\end{vmatrix}$.
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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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