Let Q be the image of the point P($$-$$2, 1, $$-$$5) in the plane 3x $$-$$ 2y + 2z + 1 = 0.

Consider the following statements.

I. The coordinates of Q are (4, $$-$$3, $$-$$1).

II. PQ is the length more than 8 units.

III. The point (1, $$-$$1, $$-$$3) is the mid-point of the line segment PQ and lies on the given plane.

which of the above statements are correct?

Let Q be the image of the point P($$-$$2, 1, $$-$$5) in the plane 3x $$-$$ 2y + 2z + 1 = 0.

Consider the following statements.

I. The direction ratios of the segment PQ are <3, $$-$$2, 2>

II. The sum of the squares of direction cosines of the line segment PQ is unity.

Which of the above statements is/are correct?

A line L passes through the point P(5, $$-$$6, 7) and is parallel to the planes x + y + z = 1 and 2x $$-$$ y $$-$$ 2z = 3.

What are the direction ratios of the line of intersection of the given planes?

A line L passes through the point P(5, $$-$$6, 7) and is parallel to the planes x + y + z = 1 and 2x $$-$$ y $$-$$ 2z = 3.

What is the equation of the line L ?