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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.
This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com
isc
class12
modelpaper
2006
sec-a
q3
q3-a
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Apr 16, 2013
by
sreemathi.v
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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.
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The equation $2x^2-3xy-py^2+x+qy=0$ represents two perpendicular lines.Find the values of $p$ and $q$.
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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 $0^{\circ}$.
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Apr 18, 2013
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Show that the bisectors of the angles between the pair of straight lines $11x^2-16xy-y^2=0$ are parallel and perpendicular to $x+2y+5=0.$
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A straight line is parallel to the x-axis and passes through the intersection of the lines $x+2y+1=0$ and $y=x+7$.Find the equation of the straight line.
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Apr 16, 2013
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isc
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