If the foot of the perpendicular from the origin to a plane is P (a, b, c), the equation…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
If the foot of the perpendicular from the origin to a plane is P (a, b, c), the equation of the plane is
- \(\frac{\mathrm{x}}{\mathrm{a}}+\frac{\mathrm{y}}{\mathrm{~b}}+\frac{\mathrm{z}}{\mathrm{c}}=3\)
- ax + by + cz = 3
- ax + by + cz = a2 + b2 + c2
- ax + by + cz = a + b + c
Answer
(C) ax + by + cz = a 2 + b 2 + c 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If (( a b ) ( c d )) ( a d )=0, then which of the following is always true
- The length of the projection of the line segment joining the points (5, –1, 4) and (4, –1, 3) on the plane x…
- For a non zero vector A if the equations A B = A C and A B = A C hold simultaneously, then
- Consider a tetrahedron with faces f 1 , f 2 , f 3 , f 4 . Let a _ 1 , a _ 2 , a _ 3 , a _ 4 be the vectors…
- Let a = i - k , b =x i + j +(1-x) k and c =y i +x j +(1+x-y) k . Then [ array lll a & ~b & c array ] depends…
- The value of k such that x-4 1 = y-2 1 = z-k 2 lies in the plane 2 x – 4 y + z = 7, is
- Let 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 be two planes, where d 1 , d 2 > 0 …
- Let r , a , ~b and c be four non–zero vectors such that r a =0, | r b |=| r || b |,| r c |=| r || c |, then…
More Three Dimensional Geometry questions · Browse all practice questions