For the following two (02) items:
A plane P is parallel to the line having direction ratios $\langle1, 3, 2\rangle $ and contains the line of intersection of the planes 6x + 4y - 5z = 2 and x - 2y + 3z = 0

Which of the following are the direction ratios of the line of intersection of the given planes?

For the following two (02) items:
A plane P is parallel to the line having direction ratios $\langle1, 3, 2\rangle $ and contains the line of intersection of the planes 6x + 4y - 5z = 2 and x - 2y + 3z = 0

What is the equation of the plane P?

For the following two (02) items:
Suppose S is the sphere with the smallest radius that passes through the points A(1, 0, 0) B(0, 1, 0) and C(0, 0, 1)

What is the radius of S?

For the following two (02) items:
Suppose S is the sphere with the smallest radius that passes through the points A(1, 0, 0) B(0, 1, 0) and C(0, 0, 1)

On which one of the following planes does the centre of S lie?