AP EAMCET · Maths · Three Dimensional Geometry
If the equation of the plane bisecting the line segment joining the points \(P(3,2,4)\) and \(Q(-1,0,-2)\) and perpendicular to \(P Q\) is \(a x+b y+c z+d=0\), then \(a c+b d\)
- A 0
- B 12
- C 6
- D 1
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Mid-point of line segment joining the points \(P(3,2,4)\) and \(Q(-1,0,-2)\) is \(R(1,1,1)\) and direction ratios of line segment \(P Q\) is \(4,2,6\), so direction ratios of normal to the plane is \[ \langle a, b, c\rangle=\langle 4,2,6\rangle . \] So, equation of plane will be…
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