JEE Main 2019MathematicsThree Dimensional GeometryEasyMCQ

JEE Main 2019Three Dimensional Geometry Question with Solution

JEE Main 2019 (12 Apr Shift 2)

Question

A plane which bisects the angle between the two given planes 2x-y+2z-4=0 and x+2y+2z-2=0, passes through the point

Choose an option

Show full solutionCorrect option: D
Correct answer
D2,-4, 1

Step-by-step explanation

Equation of bisector of angle
2x-y+2z-43=±x+2y+2z-23
(+) gives x-3y=2
- gives 3x+y+4z=6
therefore 2,-4, 1 satisfies the above equation.

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About this question

This is a previous-year question from JEE Main 2019, covering the Three Dimensional Geometry chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.