41. |
Statement -1 : The point A(3,1,6) is the mirror image of the point B(1,3,4) in the plane x - y + z = 5
Statement -2 : The plane x - y + z = 5 bisects the line segment joining A(3,1,6) and B(1,3,4)
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Answer:
Option (c) |
42. |
A equation of a plane parallel to the plane x - 2y + 2z - 5 = 0 and at a unit distance from the origin is :
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Answer:
Option (a) |
43. |
Let Q be the foot of the perpendicular from the origin to the plane 4x - 3y + z +13 = 0 and R be a point R(-1,1,-6) on the plane. Then length QR = _____
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Answer:
Option (c) |
44. |
The image of the line in the plane 2x - y + z + 3 = 0 is the line :
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Answer:
Option (c) |
45. |
Equation of the plane which passes through the point of intersection of lines and has the largest distance from the origin is :
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Answer:
Option (c) |
46. |
A symmetrical form of the line of intersection of the planes x = ay + b and z = cy + d is
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Answer:
Option (b) |
47. |
The equation of the plane containing the line 2x - 5y + z = 3; x + y +4z = 5, and parallel to the plane, x + 3y + 6z = 1, is :
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Answer:
Option (c) |
48. |
If the points (1,1,λ) and (-3, 0,1) are the equidistant from the plane, 3x + 4y - 12z + 13 = 0, then λ satisfies the equation :
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Answer:
Option (a) |
49. |
If the shortest distance between the lines and x + y + z + 1 = 0 = 2x - y + z + 3 is then a value of α is :
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Answer:
Option (c) |
50. |
The shortest distance between the Z - axis and the line x + y + 2z - 3 = 0 = 2x + 3y + 4z - 4, is :
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Answer:
Option (b) |