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ISC XII Math
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Model Papers
Prove that the following equation represents a pair of straight lines.Find their point of intersection and the angle between them :$2x^2+7xy+3y^2+2(4x+7y+4)=0.$
This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com
isc
class12
modelpaper
2009
sec-a
q3
q3-a
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asked
Apr 12, 2013
by
sreemathi.v
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Related questions
(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.
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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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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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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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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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Prove that : $2Tan^{-1}\large\frac{1}{5}\normalsize+Cos^{-1}\large\frac{7}{5\sqrt 2}\normalsize+2Tan^{-1}\large\frac{1}{8}=\large \frac{\pi}{4}$
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Apr 11, 2013
by
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