In 3-dimentional space, the equation x^2-8x+12=0 represents _____

MHT CET 2025 Mathematics question

In 3-dimentional space, the equation represents

(A)two straight lines
(B)a pair of straight lines passing through the origin
(C)2 planes parallel to YZ-planeCorrect
(D)2 planes parallel to XZ-plane

Answer: (C)

Solution

Factorise: , so or . In three dimensions the equation represents a plane perpendicular to the x-axis, i.e. parallel to the YZ-plane (because y and z are free). So the equation represents two

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Question ID VK-102881