1
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
The lines x = ay $$-$$ 1 = z $$-$$ 2 and x = 3y $$-$$ 2 = bz $$-$$ 2, (ab $$\ne$$ 0) are coplanar, if :
A
b = 1, a$$\in$$R $$-$$ {0}
B
a = 1, b$$\in$$R $$-$$ {0}
C
a = 2, b = 2
D
a = 2, b = 3
2
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
Out of Syllabus
Consider the line L given by the equation

$${{x - 3} \over 2} = {{y - 1} \over 1} = {{z - 2} \over 1}$$.

Let Q be the mirror image of the point (2, 3, $$-$$1) with respect to L. Let a plane P be such that it passes through Q, and the line L is perpendicular to P. Then which of the following points is on the plane P?
A
($$-$$1, 1, 2)
B
(1, 1, 1)
C
(1, 1, 2)
D
(1, 2, 2)
3
JEE Main 2021 (Online) 17th March Evening Shift
+4
-1
Out of Syllabus
If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line $${{x + 1} \over 2} = {{y - 3} \over 1} = {{z + 2} \over { - 1}}$$ and containing the line $${{x - 2} \over 3} = {{1 - y} \over 2} = {{z + 1} \over 1}$$ is $$\alpha$$x + $$\beta$$y + $$\gamma$$z = 24, then $$\alpha$$ + $$\beta$$ + $$\gamma$$ is equal to :
A
21
B
19
C
18
D
20
4
JEE Main 2021 (Online) 17th March Morning Shift
+4
-1
Out of Syllabus
The equation of the plane which contains the y-axis and passes through the point (1, 2, 3) is :
A
x + 3z = 0
B
3x $$-$$ z = 0
C
x + 3z = 10
D
3x + z = 6
EXAM MAP
Medical
NEET