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A line L passes through the point P(5,-6...

A line L passes through the point `P(5,-6,7)` and is parallel to the planes `x+y+z=1 and 2x-y-2z=3`.What is the equation of the line L ?

A

`(x-5)/(-1)=(y+6)/4=(z+7)/(-3)`

B

`(x+5)/(-1)=(y-6)/4=(z+7)/(-3)`

C

`(x-5)/(-1)=(y+6)/(-4)=(z+7)/3`

D

`(x-5)/(-1)=(y+6)/(-4)=(z-7)/(-3)`

Text Solution

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The correct Answer is:
A
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PUNEET DOGRA-3-D GEOMETRY-PREV YEAR QUESTIONS
  1. Let Q be the image of the point P(-2,1,-5) in the plane 3x-2y+2z+1=0 ...

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  2. A line L passes through the point P(5,-6,7) and is parallel to the pla...

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  3. A line L passes through the point P(5,-6,7) and is parallel to the pla...

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  4. A plane P passes through the line of intersection of the planes 2x-y+3...

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  5. A plane P passes through the line of intersection of the planes 2x-y+3...

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  6. A plane P passes through the line of intersection of the planes 2x-y+3...

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  7. The radius of the sphere 3x^2+3y^2+3z^2-8x+4y+8z-15=0 is

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  8. The direction ratios of the line perpendicular to the lines with direc...

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  9. What are the coordinates of the foot of the perpendicular drawn from t...

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  10. The length of the intercepts on the coordinates axes made by the plane...

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  11. The projections of a directed line segment on the coordinate axes are ...

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  12. The projections of a directed line segment on the coordinate axes are ...

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

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  14. From the point P(3,-1,11) a perpendicular is drawn on the line L given...

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

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

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  17. A point P(1,2,3) is one vertex of a cuboids formed by the coordinates ...

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  18. A point P(1,2,3) is one vertex of a cuboids formed by the coordinates ...

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  19. A point P(1,2,3) is one vertex of a cuboids formed by the coordinates ...

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

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