The equation of the sphere concentric with the sphere 2 x 2 + 2y 2 + 2z 2 - 6 x + 2y - 4z = 1 and double its radius is

2x2 + 2y2 + 2z2 - 6x + 2y - 4z - 25 = 0

x2 + y2 + z2 - 6x + 2y - 4z = 1

2x2 + 2y2 + 2z2 - 6x + 2y - 4z - 15 = 0

JEE Questions for Maths Three Dimensional Geometry Quiz 4

Maths-Three Dimensional Geometry-52809.png

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2)
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The line perpendicular to the plane 2x - y + 5z = 4 passing through the point (-1, 0,is

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2)
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Maths-Three Dimensional Geometry-52818.png

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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

Find the intersection of the sphere x² + y² + z² + 7x - 2y - z = 13 and x² + y² + z² - 3x + 3y + 4z = 7.

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x - y - z = 1
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x - 2y - z = 1
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x - y - 2z = 1
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2x - y - z = 1

Find the radius og the circle in which the sphere x² + y² + z² + 2x - 2y - 4z = 19 is cut by the plane x + 2y + 2z + 7 = 0

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2
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3
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1
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4

The equation of a sphere having centre (1, 2,and radius 3 units is

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x2 + y2 + z2 - 2x - 4y - 6z = 0
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x2 + y2 + z2 - 2x - 4y - 6z + 5 = 0
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x2 + y2 + z2 - 2x - 4y - 6z - 5 = 0
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None of these

Maths-Three Dimensional Geometry-52819.png

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5
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4
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3
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2

If a is a constant vector p is a real constant with |a|² > p, then the locus of a point with position vector r such that |r|² - 2r.a + p = 0 is

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a sphere
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an ellipse
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a circle
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a plane

If the plane 2ax - 3ay + 4az + 6 = 0 passes through the mid - point of the line joining the centres of the spheres x² + y² + z² + 6x - 8y - 2z = 13 and x² + y² + z² - 10x + 4y - 2z = 8, then a equals

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-2
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2
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-1
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1

The centres of sphere passes through four points (0, 0, 0), (0, 2, 0), (1, 0,and (0, 0,is

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2)
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The intersection of the spheres x² + y² + z² + 7x - 2y - z = 1 and x² + y² + z² - 3x + 3y + 4z = - 4 is same as the intersection of one of the spheres and the plane is