Angle Bisectors of Two Planes
Trending Questions
Q.
An equation of a plane parallel to the plane x - 2y + 2z - 5 = 0 and at a unit distance from the origin is
x - 2y + 2z - 3 = 0
x - 2y + 2z + 1 = 0
x - 2y + 2z - 1 = 0
x - 2y + 2z + 5 = 0
Q. In R3, let P1 be the plane which contains the line L1:→r=^i+^j+^k+λ(^i−^j−^k) and P2 be the another plane which contains the line L1 and a point with position vector ^j. If the vector (^i+^j) is normal to P1, then which of the following is (are) true?
- The equation of P1 is x+y=2
- The equation of P2 is →r⋅(^i−2^j+^k)=2
- The acute angle between P1 and P2 is cot−1(√3)
- The angle between the plane P2 and the line L1 is tan−1(√3)
Q.
An equation of a plane parallel to the plane x - 2y + 2z - 5 = 0 and at a unit distance from the origin is
x - 2y + 2z - 3 = 0
x - 2y + 2z + 1 = 0
x - 2y + 2z - 1 = 0
x - 2y + 2z + 5 = 0