AP EAMCET · Maths · Three Dimensional Geometry
The equation \(a x y+b y z=c y\) represent the locus of the points which lie on
- A \(z x\)-plane or on the planes perpendicular to \(z x\)-plane
- B on the planes perpendicular to \(x\)-axis
- C on the lines perpendicular to \(z y\)-plane
- D on the lines perpendicular to \(x y\)-plane
Answer & Solution
Correct Answer
(A) \(z x\)-plane or on the planes perpendicular to \(z x\)-plane
Step-by-step Solution
Detailed explanation
Given the equation \(a x y+b y z=c y\) \(\Rightarrow y(a x+b z-c)=0\) If \(y=0\) it is locus of \(z x\)-plane or \(y(a x+b z+c)=0\) it is locus of plane perpendicular to \(z x\)-plane.
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