Questions in st-line

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The equation of the line joining the origin to the point (– 4, 5), is
The equation of the line which cuts off an intercept 3 units on OX and an intercept – 2 unit on OY, is
The equation of a line through $(3,\,-4)$ and perpendicular to the line $3x+4y=5$ is
Equation of the line passing through (1, 2) and parallel to the line $y=3x-1$ is
Equation of the line passing through (–1,1) and perpendicular to the line $4/\sqrt{15}$ is
The equation of a line through the intersection of lines $x=0$ and $y=0$ and through the point (2, 2), is
Equation of a line through the origin and perpendicular to, the line joining (a, 0) and (– a, 0), is
For specifying a straight line how many geometrical parameters should be known
The points A (1, 3) and C (5, 1) are the opposite vertices of rectangle. The equation of line passing through other two vertices and of gradient 2, is
The intercept cut off from y–axis is twice that from x–axis by the line and line is passes through (1, 2) then its equation is

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