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If one of the lines given by $6{{x}^{2}}-xy+4c{{y}^{2}}=0$ is $3x+4y=0$, then c equals
If the sum of the slopes of the lines given by ${{x}^{2}}-2cxy-7{{y}^{2}}=0$ is four times their product, then c has the value
If $\frac{{{x}^{2}}}{a}+\frac{{{y}^{2}}}{b}+\frac{2xy}{h}=0$ represent pair of straight lines and slope of one line is twice the other. Then $ab:{{h}^{2}}$ is
If the lines represented by the equation $a{{x}^{2}}-bxy-{{y}^{2}}=0$ make angles $\alpha $ and $\beta $ with the x-axis, then $\tan (\alpha +\beta )$=
Angle between the lines represented by the equation ${{x}^{2}}+2xy\sec \theta +{{y}^{2}}=0$ is
If the acute angles between the pairs of lines $3{{x}^{2}}-7xy+4{{y}^{2}}=0$ and $6{{x}^{2}}-5xy+{{y}^{2}}=0$ be ${{\theta }_{1}}$ and ${{\theta }_{2}}$ respectively, then
The angle between the lines represented by the equation $a{{x}^{2}}+xy+b{{y}^{2}}=0$ will be ${{45}^{o}}$, if
The lines represented by the equation $9{{x}^{2}}+24xy+16{{y}^{2}}+21x+28y+6=0$ are
Acute angle between the lines represented by $({{x}^{2}}+{{y}^{2}})\sqrt{3}=4xy$ is
Angles made by the lines represented by the equation $xy+y=0$with $y-$axis are

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