A plane \pi passing through the point 3 \overline{i}-4 \overline{j}+5 \overline{k} is parallel to the plane which passes through the point \overline{i}+\overline{j}-\overline{k} and perpendicular to the vector \overline{i}+2 \overline{j}-3 \overline{k}. Then the cartesian equation of \pi is [TG EAPCET 13 May 2023 Shift 1]

Correct Answer is : x+2y−3z+20=0

TS EAMCET Engineering 13 May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 34 of 160

Marks: +1, -0

A plane π passing through the point 3i−4j+5k is parallel to the plane which passes through the point i+j−k and perpendicular to the vector i+2j−3k. Then the cartesian equation of π is

[TG EAPCET 13 May 2023 Shift 1]

3x−4y+5z+20=0
2x−y+3z−25=0
x+2y−3z+20=0
4x+5y−6z+38=0

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