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11. Three Dimensional Geometry
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Q8 of 76 Page 493

Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.

We know that the eq. of the plane ZOX is

y = 0


Eq. of plane parallel to it is of the form, y = a


Hence, the required eq. of the plane is


y = 3


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6

Find the equations of the planes that passes through three points.

(1, 1, 0), (1, 2, 1), (–2, 2, –1)

7

Find the intercepts cut off by the plane 2x + y – z = 5.

9

Find the equation of the plane through the intersection of the planes 3x – y + 2z – 4 = 0 and x + y + z – 2 = 0 and the point (2, 2, 1).

10

Find the vector equation of the plane passing through the intersection of the planes and through the point (2, 1, 3).

Questions · 76
11. Three Dimensional Geometry
1 2 3 4 5 1 2 3 4 5 6 7 1 9 10 11 12 13 14 15 16 17 1 1 1 1 2 3 3 3 4 4 4 4 5 5 6 6 7 8 9 10 11 12 13 13 13 13 13 14 14 14 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
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