The line (x−2)/3 = (y−3)/4 = (z−4)/5 intersects the plane 2x + y − z = −2 at a point. What is the z-coordinate of this point? A. 2 B. 4 C. −1 D. 3 Answer: C) −1 Explanation: Put x = 3k+2, y = 4k+3, z = 5k+4. Then 2(3k+2) + (4k+3) − (5k+4) = −2 ⇒ 5k + 3 = −2 ⇒ k = −1, so z = 5(−1) + 4 = −1.

imo class 12 three dimensional geometry

The line (x−2)/3 = (y−3)/4 = (z−4)/5 intersects the plane 2x + y − z = −2 at a point. What is the z-coordinate of this point?

VAVidaara Admin Asked 6d ago 0 views 0 answers

The line (x−2)/3 = (y−3)/4 = (z−4)/5 intersects the plane 2x + y − z = −2 at a point. What is the z-coordinate of this point?

Answer: C) −1

Explanation: Put x = 3k+2, y = 4k+3, z = 5k+4. Then 2(3k+2) + (4k+3) − (5k+4) = −2 ⇒ 5k + 3 = −2 ⇒ k = −1, so z = 5(−1) + 4 = −1.

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