JEE Main 2022 (Online) 24th June Evening Shift | 3D Geometry Question 163 | Mathematics

Let the points on the plane P be equidistant from the points ($$-$$4, 2, 1) and (2, $$-$$2, 3). Then the acute angle between the plane P and the plane 2x + y + 3z = 1 is :

$${\pi \over 6}$$

$${\pi \over 4}$$

$${\pi \over 3}$$

$${5\pi \over 12}$$

JEE Main 2021 (Online) 1st September Evening Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

Let the acute angle bisector of the two planes x $$-$$ 2y $$-$$ 2z + 1 = 0 and 2x $$-$$ 3y $$-$$ 6z + 1 = 0 be the plane P. Then which of the following points lies on P?

$$\left( {3,1, - {1 \over 2}} \right)$$

$$\left( { - 2,0, - {1 \over 2}} \right)$$

(0, 2, $$-$$4)

(4, 0, $$-$$2)

JEE Main 2021 (Online) 1st September Evening Shift

MCQ (Single Correct Answer)

-1

The distance of line $$3y - 2z - 1 = 0 = 3x - z + 4$$ from the point (2, $$-$$1, 6) is :

$$\sqrt {26} $$

$$2\sqrt 5 $$

$$2\sqrt 6 $$

$$4\sqrt 2 $$