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Equation of the plane passing through (2...

Equation of the plane passing through (2,3,4) and parallel to the plane 5x-6y+7z=3 is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The distance of the point (2,3,-4) from the point of intersection of t...

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  2. If the lines : (x-1)/2 =(y+1)/3 =(z-1)/4 and (x-3)/1=(y-k)/2 =z/1 in...

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  3. Equation of the plane passing through (2,3,4) and parallel to the plan...

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  4. Distance between the two planes 2 x+3 y+4 z=4 and 4 x+6 y+8 z=12 is

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  5. The planes 2x-y+4 z=5 and 5x-2.5y+10z=6 are

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  6. The coordinates of the foot of the perpendicular drawn from the point ...

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  7. P is a point on the line segment joining the points (3, 2, – 1) and (6...

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  8. If alpha, beta, gamma are the angles that a line makes with the positi...

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  9. The distance of the point P(a, b, c) from the x-axis is

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  10. The equation of x-axis in space are

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  11. A line makes equal angles with coordinate axes. Direction cosines of t...

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  12. Distance of the point (alpha, beta, gamma) from the y-axis is

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  13. If the direction cosines of a line are k,k,k then

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  14. Distance of the plane vec r . (2/7 i + 3/7 j + 6/7 k ) = 1 from the or...

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  15. The sine of the angle between the straight the (x-2)/(3)=(3-y)/(-4)=(z...

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  16. Reflection of the point (alpha, beta, gamma) in XY plane is

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  17. The area of the quadrilateral ABCD, where A (0, 4, 1), B (2, 3, - 1), ...

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  18. The locus represented by xy+yz=0 is

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  19. The plane 2x-3y+6z-11=0 makes an angle sin^(-1)(alpha) with X - axis. ...

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  20. A line with direction cosines proportional to 2,1,2 meets each of the ...

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