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Consider the spheres x^2+y^2+z^2-4y+3=0 ...

Consider the spheres `x^2+y^2+z^2-4y+3=0 and x^3+y^2+z^2+2x+4z-4=0`.
A line passes through the points (6, -7, -1) and (2, -3, 1). What are the direction ratios of the line?

A

`lt 4,-4, 2gt`

B

`lt 4,4,2 gt`

C

`lt -4,4,2 gt`

D

`lt 2,1,1 gt`

Text Solution

Verified by Experts

The correct Answer is:
C
Direction ratios `lt(2-6),(-3+7),(1+1) gt = lt -4,4,2 gt`
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NDA PREVIOUS YEARS-3-D GEOMETRY-MCQ
  1. Consider the spheres x^2+y^2+z^2-4y+3=0 and x^3+y^2+z^2+2x+4z-4=0. ...

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  2. Consider the spheres x^2+y^2+z^2-4y+3=0 and x^3+y^2+z^2+2x+4z-4=0. ...

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  3. Consider the spheres x^2+y^2+z^2-4y+3=0 and x^3+y^2+z^2+2x+4z-4=0. ...

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  4. Consider a sphere passing through the origin and the points (2,1,-1),(...

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  5. Consider a sphere passing through the origin and the points (2,1,-1),(...

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  6. Consider a sphere passing through the origin and the points (2,1,-1),(...

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  7. The line joining the points (2, 1, 3) and (4, -2, 5) cuts the plane 2x...

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  8. The line joining the points (2, 1, 3) and (4, -2, 5) cuts the plane 2x...

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  9. Conisder the plane passing through the points A(2,2,1),B(3,4,2) and C...

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  10. Conisder the plane passing through the points A(2,2,1),B(3,4,2) and C...

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  11. The projections of a line segment on the coordinate axes are 12,4,3 re...

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  12. The projections of a line segment on the coordinate axes are 12,4,3 re...

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  13. From the points P(3, -1,11), a perpendicular is drawn on the line L gi...

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  14. Find the equation of the perpendicular from point (3,-1,11) to line x...

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  15. A triangular plane ABC with centroid (1,2,3) cuts the coordinate axes ...

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  16. A plane meets the coordinate axes at A, B and C respectively such that...

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  17. A point P(1, 2, 3) is one of a cuboid formed by the coordinate planes ...

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  18. A points P(1,2,3) is one vertex of a cuboid formed by the coordinate p...

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  19. A points P(1,2,3) is one vertex of a cuboid formed by the coordinate p...

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  20. A points P(1,2,3) is one vertex of a cuboid formed by the coordinate p...

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