TS EAMCET · Maths · Three Dimensional Geometry
The combined equation for a pair of planes is If one of the planes is parallel to
then the acute angle between the planes is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
S=2x2-6y2-12z2+18yz+2zx+xy=0 S=(x+2y-2z)(2x-3y+6z)=0 Hence, (x+2y-2z) is parallel to one plane. So, 1,2,-2, (2,-3,6) will be the required direction ratios. Here, cosθ=2-6-129×49=163×7=-1621 θ=cos-1-1621 {cos(-θ)=cosθ} θ=cos-11621
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