211.Find the equation of the plane through the points (0, – 1, 0), (2, 1, –1) and (1,1,1).
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212.Find the equation of the plane passing through the points (0. – 1, 0), (1, 1, 1) and (3, 3,0).
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Long Answer Type
213.Find the equation of the plane through the three points (1, 1, 1), (1, – 1, 1) and (–7, – 3,–5).
83 Views
Short Answer Type
214.
Find the vector equation of the plane passing through the point A(2, 2, –1), B(3, 4, 2) and C (7, 0, 6). Also find the cartesian equation of the plane.
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215.Find the vector equations of the plane passing through the points R(2, 5, –3), S(– 2, – 3, 5) and T(5, 3, – 3).
216.Find the equations of the planes that passes through three points: (1, 1,–1), (6, 4, –5),(–4, –2, 3)
The equation of line through (1, 1, –1), (6, 4, – 5) is
or The point (– 4, –2, 3) will lie on this line if i.e. if –1 = –1 = –1, which is true ∴ given points (1, 1, –1), (6, 4, – 5), (– 4, – 2, 3) are collinear. ∴ infinite number of planes pass through the given points.
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217.Find the equations of the planes that passes through three points: (1, 1, 0), (1, 2, 1), (–2, 2, –1)
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Long Answer Type
218.If from a point P (a, b, c) perpendiculars PA and PB are drawn to yz and zx-planes, then find the vector equation of the plane OAB.
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219.Find the equation of plane through the points (2, 2, 1), (9, 3, 6), and perpendicular to the plane 2x + 6y + 6z = 9.
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220.Find the equation of the plane through the points (2, 2, 1), (9, 3, 6) and perpendicular to the plane 2x + 6y + 6z – 1 = 0.
Short Answer Type
Long Answer Type
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