The perpendicular distance from the origin to the plane passing through the points (1, 0, 0), (0, 2, 0) and (0, 0, 3) is: A. 6/7 B. 7/6 C. 1 D. 36/49 Answer: A) 6/7 Explanation: Plane intercepts are 1, 2, 3. Equation is x/1 + y/2 + z/3 = 1, or 6x + 3y + 2z − 6 = 0. Distance from (0,0,0) is |−6| / √(36 + 9 + 4) = 6 / √49 = 6/7.

imo class 12 three dimensional geometry

The perpendicular distance from the origin to the plane passing through the points (1, 0, 0), (0, 2, 0) and (0, 0, 3) is:

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The perpendicular distance from the origin to the plane passing through the points (1, 0, 0), (0, 2, 0) and (0, 0, 3) is:

A. 6/7
B. 7/6
C. 1
D. 36/49

Answer: A) 6/7

Explanation: Plane intercepts are 1, 2, 3. Equation is x/1 + y/2 + z/3 = 1, or 6x + 3y + 2z − 6 = 0. Distance from (0,0,0) is |−6| / √(36 + 9 + 4) = 6 / √49 = 6/7.

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