JEE Questions for Maths Three Dimensional Geometry Quiz 12

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1
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3
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0

Maths-Three Dimensional Geometry-53401.png

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A point moves in such a way that the sum of its distance from xy–plane and yz–plane remains equal to its distance from zx –plane. The locus of the point is

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A point moves so that its distances from the points (3, 4, –and (2, 3, –remains equal. The locus of the point is

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A line
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A plane whose normal is equally inclined to axis
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A plane which passes through the origin
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A sphere

The equation of the perpendicular from the point (α, β, γ) to the plane ax + by + cz + d = 0 is

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None of the above

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0
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1
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A plane making intercepts of lengths 1, 2, 3 on the rectangular co-ordinate axis is represented by the equation

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None of these

The equation of a plane which passes through (2, –3,and is normal to the line joining the points (3, 4, –and (2, –1,is given by

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Maths-Three Dimensional Geometry-53441.png

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Maths-Three Dimensional Geometry-53447.png

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None of the above

The equation of the plane through the three points (1, 1, 1), (1, –1,and (–7, –3, –5), is

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None of these

Maths-Three Dimensional Geometry-53456.png

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10 : 3
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3 : 1
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3 : 10
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10 : 1

Maths-Three Dimensional Geometry-53458.png

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None of these

A plane makes intercepts –6, 3, 4 upon the co-ordinate axis. Then the length of the perpendicular from the origin on it is

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Maths-Three Dimensional Geometry-53468.png

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A plane makes intercepts a, b, c at A, B, C on the co-ordinate axis respectively. If the centroid of the triangle ABC at (3, 2, 1), then the equation of the plane is

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The angle between two planes is equal to

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The angle between the tangents to them from any point
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The angle between the normal to them from any point
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The angle between the lines parallel to the planes from any point
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None of the above

Maths-Three Dimensional Geometry-53479.png

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±3
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±6
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–3, 9
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3, –9
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3, 9

A plane meets the co-ordinate axis in A, B, C and (α, β, γ) is the centroid of the triangle ABC. Then the equation of the plane is

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XOZ plane divides the join of (2, 3,and (6, 7,in the ratio

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3 : 7
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2 : 7
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–3 : 7
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–2 : 7

If O is the origin and A is the point (a, b, c), then the equation of the plane through A and at right angles to OA is

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None of these

If from a point P(a, b, c) perpendiculars PA and PB are drawn to yz and MC planes, then the equation of the plane OAB is

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A line joining the points (1, 2,and (4, 13,is perpendicular to a plane. Then the coefficient of x, y and z in the equation of the plane are respectively