List of top Mathematics Questions on Equation of a Plane asked in CUET (UG)

If the straight line equation \( \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} \) runs completely parallel to the plane surface given by \( A x + 2y + 3z = 5 \), find the value of the coefficient \( A \).

The equation of plane which cuts equal intercepts of unit length on the coordinate axes is: