List of top Mathematics Questions on Equation of a Line in Space asked in AP EAPCET

The direction ratios of a line \(L\) are \((ab,b,b)\) \((b\gt 0)\) and the line \(L\) passes through \[ P(b,b,b). \] If \(Q(x,y,z)\) is a point on the line at a distance of \(b\) units from \(P\), then \[ x+y+z= \]

The combined equation of the lines passing through the point \( (3, 4) \) and each making an angle of 45° with the line \( x + y + 1 = 0 \) is:

The distance between a point \(P\) whose position vector is \[ 5\vec{i}+\vec{j}+3\vec{k} \] and the line \[ \vec{r}=(3\vec{i}+7\vec{j}+\vec{k})+t(\vec{j}+\vec{k}) \] is: