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

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

A

perpendicular

B

parallel

C

intersect y-axis

D

passes through (0,0,5/4)

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Equation of the plane passing through (2,3,4) and parallel to the plan...

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

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

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

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

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

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  8. The equation of x-axis in space are

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

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

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

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

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

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

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

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

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

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

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  19. A line makes some angle theta, with each of the x and z-axis. If the a...

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  20. Distance between two parallel planes: 2x + y + 2z = 8 and 4x + 2y + 4z...

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