List of top Mathematics Questions on 3D Geometry asked in Bihar Board XII

If the direction ratios of two parallel lines are \(a_1, b_1, c_1\) and \(a_2, b_2, c_2\) then \(\dfrac{a_1 c_2}{a_2}=\) ?
If the direction ratios of two parallel lines are \(x,\,5,\,3\) and \(20,\,10,\,6\) then the value of \(x\) is:
If the direction cosines of a line are \(\dfrac{4}{\sqrt{77}},\ \dfrac{5}{\sqrt{77}},\ \dfrac{x}{\sqrt{77}}\), then the value of \(x\) is

If the line \(\dfrac{x}{-1}=\dfrac{y}{2}=\dfrac{z}{3}\) is parallel to the plane \(ax+by+cz+d=0\) then

If two planes \(a_{1}x+b_{1}y+c_{1}z+d_{1}=0\) and \(a_{2}x+b_{2}y+c_{2}z+d_{2}=0\) are mutually perpendicular, then

The direction ratios of the line \(\dfrac{x+1}{3}=\dfrac{y-2}{3}=\dfrac{z-5}{6}\) are

Through which point does the line \(\dfrac{x-100}{101}=\dfrac{y-99}{102}=\dfrac{z-98}{103}\) pass?
Direction ratios of the normal to the plane \(x+2y-3z+15=0\) are
An equation of a plane parallel to \(x-8y-9z=12\) is
The intercept cut off on the \(x\)-axis by the plane \(3x+4y+5z=13\) is
Distance of the plane \(3x-4y+6z=11\) from the origin is
If the direction ratios of two mutually perpendicular lines are \(2,\,3,\,5\) and \(x,\,y,\,4\), then \(2x+3y=\) ?