AP EAMCET · Maths · Three Dimensional Geometry
If \((3,4,-7)\) is the foot of the perpendicular drawn from the point \((-2,3,6)\) to the plane \(\pi\), then the sum of the intercepts made by the plane \(\pi\) on the \(X\) and \(Y\)-axes is
- A 132
- B 142
- C 210
- D 175
Answer & Solution
Correct Answer
(A) 132
Step-by-step Solution
Detailed explanation
DR's of plane is \[ 3+2,4-3,-7-6=5,1,-13 \] Equation of plane is \(5 x+y-13 z=d\) Plane passes through the point \((3,4,-7)\) \[ \begin{aligned} & 15+4+91=d \\ & d=110 \\ & \end{aligned} \] \(\Rightarrow\) \(\therefore\) Equation of plane is \(5 x+y-13 z=110\)…
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