Maharashtra HSC (Class 12) Line and Plane — practice questions
10 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice Maharashtra HSC (Class 12) Line and Plane in the app →Vector equation of a line passing through point with position vector a and parallel to vector b isTwo lines r = a₁ + s b₁ and r = a₂ + t b₂ are parallel iffEquation of a plane passing through point with position vector a and having normal n isPerpendicular distance from the point (1, 2, 3) to the plane 2x + 3y + 6z − 7 = 0 isTwo planes a₁x + b₁y + c₁z = d₁ and a₂x + b₂y + c₂z = d₂ are perpendicular iffEquation of x-axis in 3D isIf l, m, n are direction cosines of a line thenShortest distance between two skew lines is the length of the commonAngle between line with direction ratios (2, 1, 2) and plane 3x − 2y + 6z + 1 = 0The plane x + y + z = 3 cuts intercepts on the coordinate axes equal to