The equations of two straight lines are x-1 2 = y+3 1 = z-2 -3 and x-2 1 = y-1 -3 = z+3 2 . STATEMENT-1: The given lines are coplanar. STATEMENT-2: The equations 2r - s = 1, r + 3s = 4, 3r + 2s = 5 are consistent.

JEE Advanced Mathematics question

The equations of two straight lines are

= = and = = .

STATEMENT-1: The given lines are coplanar. STATEMENT-2: The equations , , are consistent.

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1Correct
(B)Statement-1 is True, Statement-2 is True; Statement-2 is *Not* a correct explanation for Statement-1
(C)Statement-1 is True, Statement-2 is False
(D)Statement-1 is False, Statement-2 is True

Answer: (A)

General points: on the first line and on the second. They coincide iff

2r + 1 = s + 2, r - 3 = -3s + 1, -3r + 2 = 2s - 3 2r - s = 1,\ r + 3s = 4,\ 3r + 2s = 5.

- **Statement-2:** From the first two, ; then ✓.

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Question ID VK-110328