1
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The equation of the plane passing through the point (1, 2, -3) and perpendicular to the planes

3x + y - 2z = 5 and 2x - 5y - z = 7, is :
A
6x - 5y + 2z + 10 =0
B
3x - 10y - 2z + 11 = 0
C
6x - 5y - 2z - 2 = 0
D
11x + y + 17z + 38 = 0
2
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The distance of the point (1, 1, 9) from the point of intersection of the line $${{x - 3} \over 1} = {{y - 4} \over 2} = {{z - 5} \over 2}$$ and the plane x + y + z = 17 is :
A
$$19\sqrt 2 $$
B
$$2\sqrt {19} $$
C
38
D
$$\sqrt {38} $$
3
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
A plane P meets the coordinate axes at A, B and C respectively. The centroid of $$\Delta $$ABC is given to be (1, 1, 2). Then the equation of the line through this centroid and perpendicular to the plane P is :
A
$${{x - 1} \over 1} = {{y - 1} \over 1} = {{z - 2} \over 2}$$
B
$${{x - 1} \over 2} = {{y - 1} \over 1} = {{z - 2} \over 1}$$
C
$${{x - 1} \over 2} = {{y - 1} \over 2} = {{z - 2} \over 1}$$
D
$${{x - 1} \over 1} = {{y - 1} \over 2} = {{z - 2} \over 2}$$
4
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The shortest distance between the lines

$${{x - 1} \over 0} = {{y + 1} \over { - 1}} = {z \over 1}$$

and x + y + z + 1 = 0, 2x – y + z + 3 = 0 is :
A
1
B
$${1 \over 2}$$
C
$${1 \over {\sqrt 2 }}$$
D
$${1 \over {\sqrt 3 }}$$
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