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Question

Assertion (A): The points (2,1,5) and (3,4,3) lie on opposite side of the plane 2x+2y2z1=0.
Reason (R): The algebraic perpendicular distance from the given points to the line have opposite sign.

A
Both A and R are individually true and R is the correct explanation of A
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B
Both A and R individually true but R is not the correct explanation of A
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C
A is true but R is false
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D
A is false but R is true
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Solution

The correct option is A Both A and R are individually true and R is the correct explanation of A
The statement is true when two points
A(x1,y1,z1) and B(x2,y2,z2) lie on the opposite sides of a plane P(x,y,z)=0
Then P(x1,y1,z1) and P(x2,y2,z2)<0
A: The statement is true. points are A(2,1,5),P(3,4,3)
P(2,1,5).P(3,4,5)=(5)(7)<0
Ans (a) option i.e. Both A and R are individually true and R is the correct explanation of A

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