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The lines joining the points of intersection of curve $5{{x}^{2}}+12xy-8{{y}^{2}}+8x-4y+12=0$ and the line $x-y=2$ to the origin , makes the angles with the axes
The lines joining the points of intersection of the curve ${{(x-h)}^{2}}+{{(y-k)}^{2}}-{{c}^{2}}=0$ and the line $kx+hy=2hk$ to the origin are perpendicular, then
If the distance of two lines passing through origin from the point $({{x}_{1}},{{y}_{1}})$ is $'d'$, then the equation of lines is
The lines joining the origin to the points of intersection of the line $3x-2y=1$ and the curve $3{{x}^{2}}+5xy-3{{y}^{2}}+2x+3y=0$, are
The distance between the parallel lines $9{{x}^{2}}-6xy+{{y}^{2}}+18x-6y+8=0$ is
Two lines are given by ${{(x-2y)}^{2}}+k(x-2y)=0$. The value of k so that the distance between them is 3, is
The pair of straight lines joining the origin to the points of intersection of the line $y=2\sqrt{2}x+c$and the circle ${{x}^{2}}+{{y}^{2}}=2$are at right angles, if
The equation $8{{x}^{2}}+8xy+2{{y}^{2}}+26x+13y+15=0$ represents a pair of straight lines. The distance between them is
Distance between the pair of lines represented by the equation ${{x}^{2}}-6xy+9{{y}^{2}}+3x-9y-4=0$is
The equation of pair of lines joining origin to the points of intersection of ${{x}^{2}}+{{y}^{2}}=9$and $x+y=3$ is

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