Three Dimensional Geometry: JEE Main 2005 Mathematics question

JEE Main 2005 · Annual, Paper 1 · Q2388

JEE Main 2005Annual, Paper 1MathematicsEasyThree Dimensional Geometry249× since 2002

If the plane

2ax-3ay+4az+6=0

passes through the midpoint of the line joining the centres of the spheres

{x^2} + {y^2} + {z^2} + 6x - 8y - 2z = 13

and

{x^2} + {y^2} + {z^2} - 10x + 4y - 2z = 8

then a equals :

JEE Main 2005 · Annual, Paper 1 · Q2388

JEE Main 2005Annual, Paper 1MathematicsEasyThree Dimensional Geometry249× since 2002

If the plane

2ax-3ay+4az+6=0

passes through the midpoint of the line joining the centres of the spheres

{x^2} + {y^2} + {z^2} + 6x - 8y - 2z = 13

and

{x^2} + {y^2} + {z^2} - 10x + 4y - 2z = 8

then a equals :

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