Questions in st-line

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The straight line passes through the point of intersection of the straight lines $x+2y-10=0$ and $2x+y+5=0,$ is
The equation to the straight line passing through the point $(a{{\cos }^{3}}\theta ,\ a{{\sin }^{3}}\theta )$ and perpendicular to the line $x\sec \theta +y\,\text{cosec}\,\theta =a,$ is
Equation of the perpendicular bisector of the line segment joining the points (7, 4) and (– 1, – 2), is
Equations of the two straight lines passing through the point (3, 2) and making an angle of ${{45}^{o}}$ with the line $x-2y=3,$ are
Equations of lines which passes through the points of intersection of the lines $4x-3y-1=0$ and $2x-5y+3=0$ and are equally inclined to the axes are
The equations of two lines through $(0,\ a)$ which are at distance ‘a’ from the point $(2a,\ 2a)$ are
A line is such that its segment between the straight lines $5x-y-4=0$ and $3x+4y-4=0$ is bisected at the point (1, 5), then its equation is
Equation of the line which passes through the point $(-4,\ 3)$ and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point, is
The equation of a straight line passing through the points $(-5,\ -6)$ and (3, 10), is
The equations of the lines through the point of intersection of the lines $x-y+1=0$ and $2x-3y+5=0$ and whose distance from the point (3, 2) is $\frac{7}{5},$ is

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