1
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1
Out of Syllabus

The distance of the point (7, $$-$$3, $$-$$4) from the plane passing through the points (2, $$-$$3, 1), ($$-$$1, 1, $$-$$2) and (3, $$-$$4, 2) is :

A
$$4\sqrt2$$
B
4
C
5
D
$$5\sqrt2$$
2
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1
Out of Syllabus

The distance of the point ($$-1,9,-16$$) from the plane

$$2x+3y-z=5$$ measured parallel to the line

$${{x + 4} \over 3} = {{2 - y} \over 4} = {{z - 3} \over {12}}$$ is :

A
13$$\sqrt2$$
B
26
C
20$$\sqrt2$$
D
31
3
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1
Out of Syllabus

Let $$Q$$ be the foot of perpendicular drawn from the point $$P(1,2,3)$$ to the plane $$x+2 y+z=14$$. If $$R$$ is a point on the plane such that $$\angle P R Q=60^{\circ}$$, then the area of $$\triangle P Q R$$ is equal to :

A
$$\frac{\sqrt{3}}{2}$$
B
$$\sqrt{3}$$
C
$$2 \sqrt{3}$$
D
3
4
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1
Out of Syllabus

If $$(2,3,9),(5,2,1),(1, \lambda, 8)$$ and $$(\lambda, 2,3)$$ are coplanar, then the product of all possible values of $$\lambda$$ is:

A
$$\frac{21}{2}$$
B
$$\frac{59}{8}$$
C
$$\frac{57}{8}$$
D
$$\frac{95}{8}$$
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