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Equation of a Plane : General Form

30. P is a po...

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30. P is a point(a,b,c) . Let A ,B ,C be images of P in y_z ,z_x and x_y planes respectively , then the equation of the plane ABC is

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Q. Let A(1,1,1) , B(2,3,5) and C ( -1, 0,2) be three points , then equation of a plane parallel to the plane ABC which is at distance 2 units is:

A (1, 1, 1), B (2, 3, 5)

C (- 1, 0, 2)

be three points, then equation of a plane parallel to the plane

A B C

and at the distance

2

Q. The equation of a parabola is

y^{2} = 4 x

. Let P (1,3) and Q (1,1) are two points in the xy plane. Then,

Q. From the point

P (a, b, c)

, let perpendiculars

P L

P M

Y O Z

Z O X

planes, respectively. Then the equation of the plane

O L M

A \equiv (3, - 1, - 1)

B \equiv (3, 1, 0)

be the points in the plane

x + y + z = 1

2 x - y - z = 5

respectively. C is a variable point lying in both the planes such that perimeter of

△ A B C

is minimum then coordinates of point C is.

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