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The equation of the line passing through...

The equation of the line passing through `(-4, 3, 1),` parallel to the plane `x +2y-z-5=0` and intersecting the line `(x+1)/-3=(y-3)/2=(z-2)/-1`

A

`(x-4)/(2)=(y+3)/(1)=(z+1)/(4)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  2. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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  3. The equation of the line passing through (-4, 3, 1), parallel to the p...

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  4. The perpendicular distance from the origin to the plane containing the...

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  5. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

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  6. Let S be the set of all real values of lamda such that a plane passing...

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  7. If an angle between the line, (x+1)/(2)=(y-2)/(1)=(z-3)/(-2) and the...

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  8. The length of the perpendicular from the point (2, -1, 4) on the strai...

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  9. The equation of a plane containing the line of intersection of the pla...

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  10. Find the equation of the plane through the line of intersection of the...

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  11. If a point R ( 4, y, z ) lies on the line segment joining the poi...

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  12. If the line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) meets the plane, x+2y+3z=15 ...

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  13. A plane passing through the points (0,-1,0) and (0,0,1) and making an ...

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  14. The vertices B and C of a DeltaABC lie on the line, (x+2)/(3)=(y-1)/(0...

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  15. Let A(3,0,-1) ,B(2,10,6) and C(1,2,1) be the vertices of a triangle ...

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  16. A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...

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  17. If the plane 2x-y+2x+3=0 has the distances (1)/(3) and (2)/(3) units f...

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  18. If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-...

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  19. A plane which bisects the angle between the two given planes 2x-y+2z-4...

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  20. Let P be the plane, which contains the line of intersection of the pla...

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