JEE Main 2015MathematicsThree Dimensional GeometryMediumMCQ

JEE Main 2015Three Dimensional Geometry Question with Solution

JEE Main 2015 (11 Apr Online)

Question

A plane containing the point (3,2,0) and the line x-11=y-25=z-34 also contains the point

Choose an option

Show full solutionCorrect option: B
Correct answer
B(0, 7, 10)

Step-by-step explanation

The Direction ratio perpendicular to the plane would be cross product of

i^+5j^+4k^ and 3-1i^+2-2j^+0-3k^

= i^j^k^15420-3

= -15i^+11j^-10k^

Equation of plane would be

-15x+11y-10z=λ

As plane contain 3,2,0

-45+22-0=λ

-23=λ

-15x+11y-10z+23=0

This passes through (0,7,10)

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About this question

This is a previous-year question from JEE Main 2015, 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.