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The equation of the plane passing throug...

The equation of the plane passing through the pionts (0,-4,-6) and (-2,9,3) and perpendicular to x-4y-2z = 8 is .....

A

3x + 3y -2z = 0

B

x-2y + z = 2

C

2x + y -z = 2

D

5x-3y + 2z = 0

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The correct Answer is:
C
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Find the equation of the plane passing through the point (-1,2, 1) and perpendicular to the line joining the points (-3, 1, 2) and (2, 3, 4). Find also the perpendicular distance of the origin from this plane.

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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the pos...

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  2. The equation of the plane passing through the pionts (2,5,-3) and perp...

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  3. The equation of the plane passing through the pionts (0,-4,-6) and (-2...

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  4. The line joining the pionts (1,1,2) and (3,-2,1) meets the plane 3x + ...

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  5. The plane passing through (5,1,2) and perpendicular to the line 2(x-2)...

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  6. The intercepts on the axes cut off by the plane which is perpendicular...

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  7. The equation of the plane passing through the intersection of the plan...

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  8. If from the point (a,b,c) perpendiculars PL and PM be drawn to YOZ and...

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  9. The line (x+1)/(2) = (y+1)/(3) = (z+1)/(4) meets the plane x + 2y + 3z...

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  10. The plane containing the two lines (x-3)/(1) = (y-2)/(4) = (z-1)/(5) a...

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  11. A variable plane passes through a fixed point (1,-2,3) and meets the c...

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  12. The equation to the plane through the pionts (2,-1,00) and (3,-4,5) pa...

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  13. Through a point P(f,g,h) a plane is drawn at right angles to bar(OP), ...

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  14. If p1,P2,P3 denot the distances of the plane 2x-3y+4z +2 = 0 from the ...

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  15. The image of the piont P(2,3,1) in the plane x-y-z -2 = 0 is ............

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  16. If the plane lambda x-mu y + vz = phi contains line (x-lambda)/(lambd...

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  17. The difference between the distances of the points (2,3,4) and (1,1,4)...

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  18. The vector equation of the plane which is at distance 8 units from ori...

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  19. The modulus of the vector barn is 8. makes an angle 45^@ with X -axis....

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  20. The position vectors of the points P and Q are (3,1,2) and (1,-2,-4) r...

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