If l, m, n are the direction cosines of the normal, the normal form of the plane is
Al/x + m/y + n/z = p
Blx + my + nz = p
Cx/l + y/m + z/n = p
Dl(x + y) + nz = p
Answer & Solution
Correct answer: B. lx + my + nz = p
Taking the unit normal n = li + mj + nk in r · n = p gives lx + my + nz = p.
Keep practising Line and Plane
Browse all Line and Plane questions for MHT-CET, or explore more Mathematics topics.
Related questions
Lines with direction ratios 1, 2, 2 and 2, 1, k are perpendicular when k equalsA line in space is completely determined byNormals to a given plane have direction ratios that areThe plane through (1, 0, 0), (0, 1, 0) and (0, 0, 1) isThe plane through the origin and the intersection of x + y + z = 1 and 2x + 3y + 4z = 5 isWhich plane passes through the line of intersection of r · n1 = d1 and r · n2 = d2?The plane containing two coplanar lines r = a1 + λb1 and r = a2 + μb2 has a normal alongIf the distance between two non-parallel lines is zero, then the lines are