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JEE Questions for Maths Three Dimensional Geometry Quiz 13 - MCQExams.com
JEE
Maths
Three Dimensional Geometry
Quiz 13
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None of the above
Explanation
It is obvious
A variable plane passes through a fixed point (a, b, c) and meets the co-ordinate axis in P, Q, R . The locus of the point of intersection of the planes through P, Q, R parallel to the co-ordinate planes is
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If the length of perpendicular drawn from origin on a plane is 7 units and its direction ratios are –3, 2, 6, then the plane is
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15, –5, 3
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1, –5, 3
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–15, 5, –3
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1, –6, 20
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–2
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2
If two planes intersect, then the shortest distance between the planes is
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cos θ
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cos 90°
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sin 90°
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None of these
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3
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–4
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5
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None of these
If P be the point (2, 6, 3), then the equation of the plane through P at right angle to OP, O being the origin, is
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If O be the origin and the co-ordinates of P be (1, 2, –3), then the equation of the plane passing through P and perpendicular to OP is
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(10, 20, –10)
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(10, –20, 12)
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(12, –20, 10)
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(12, 20, –10)
The equation of a plane parallel to x-axis is
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Explanation
It is obvious
The points A(–1, 3, 0), B(2, 2,and C (1, 1,determine a plane. The distance from the plane to the point D(5, 7,is
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Points
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Plane
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Curves
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Pair of straight line
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Cube
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Rhombus
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Sphere of radius p
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Point (p, p, p)
Explanation
It is obvious
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YOZ
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Z = k
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ZOX
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XOY
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The point at which the line joining the points (2, –3,and (3, –4, –intersects the plane 2x + y + z = 7 is
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(1, 2, 7)
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(1, –2, 7)
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(–1, 2, 7)
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(1, –2, –
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8x + 14y + 13z + 37 = 0
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8x - 14y + 13z + 37 = 0
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8x + 14y -13z + 37 = 0
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8x + 14y + 13z - 37 = 0
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8x -14y -13z - 37 = 0
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Line is parallel to the plane
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Line is perpendicular to the plane
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Line lies in the plane
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None of the above
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4
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–4
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2
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–2
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(6, –
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(–6, 7)
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(5, –
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(–5, 5)
The equation of the plane which bisects the line joining the points (–1, 2,and (3, –5,at right angle, is
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10
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11
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12
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13
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None of these
The line drawn from (4, –1,to the point (–3, 2,meets a plane at right angles at the point (–10, 5, 4), then the equation of plane is
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None of these
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