Questions in st-line

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The equation of straight line passing through point of intersection of the straight lines $3x-y+2=0$ and $5x-2y+7=0$ and having infinite slope is
The equation of the straight line which is perpendicular to $y=x$ and passes through (3, 2) is
Equation to the straight line cutting off an intercept $2$ from the negative direction of the axis of y and inclined at 30o to the positive direction of axis of x, is
The line passing through $(-1,\pi /2)$ and perpendicular to $\sqrt{3}\sin \theta +2\cos \theta =\frac{4}{r}$ is
The equation of the line bisecting perpendicularly the segment joining the points (– 4, 6) and (8, 8) is
Equation of a line passing through (1, –2) and perpendicular to the line $3x-5y+7=0$ is
If the line $\frac{x}{a}+\frac{y}{b}=1$ passes through the points (2, – 3) and (4, – 5), then $(a,\ b)$ =
If the slope of a line passing through the point A (3, 2) be 3/4, then the points on the line which are 5 units away from A, are
For the lines $2x+5y=7$ and $2x-5y=9,$ which of the following statement is true
The opposite angular points of a square are $(3,\ 4)$ and $(1,\ -\ 1)$ . Then the co-ordinates of other two points are

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