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If the planes 2x + 3y - z + 5 = 0, x + 2...

If the planes 2x + 3y - z + 5 = 0, x + 2y – kz + 7 = 0 are perpendicular then k=

A

4

B

6

C

8

D

`-8`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-THE PLANE-EXCERISE 1
  1. Find the angle between the planes 2x - y + z = 6 and x + y + 2 z = 7 .

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  2. The angle between the planes 2x + 6y + 6z = 9, 3x + 4y – 5z = 9 is

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  3. If the planes 2x + 3y - z + 5 = 0, x + 2y – kz + 7 = 0 are perpendicul...

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  4. If the planes 2x + 3y + 4z + 7 = 0 and 4x + ky + 8z + 1 = 0 are parall...

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  5. The equation of the plane passing through the point (1, 2, – 3) and pa...

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  6. The equation of the plane passing through the point (- 1, 2, 4) and pa...

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  7. An equation of a plane parallel to the plane x – 2y + 2z - 5 = 0 and a...

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  8. The equation of the plane passing through the point (1, 2, 3) and para...

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  9. The equation of the plane passing through the point (3, -6, 9) and per...

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  10. In the space the equation by + cz + d = 0 represents a plane perpendic...

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  11. Distance between to parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z +...

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  12. The distance between the parallel planes 12x – 3y + 4z – 7 = 0, 12x – ...

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  13. The planes x=pma, y=pma, z=pma form a

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  14. The plane x =0, x =a, y =0, y =a , z = and z =a from a

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  15. The four planes 7x+4y-4z+3=0,36x-51y+12z+17=0,14x+8y-8z-12=0 and 12x-1...

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  16. The ratio in which the plane 2x+3y-2z+7=0 divides the line segment joi...

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  17. The ratio in which the line joining (2, -4 ,3) and (-4,5,-6) is divide...

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  18. For the plane II = 4x - 3y + 2z - 3=0, the points A (-2, 1, 2) B = (3,...

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  19. For the plane prod= 4x – 3y + 2z – 3 = 0 , the points A = (- 2, 1, 2)...

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  20. For the plane prod = x + y +z – 4= 0 , the point (1, 2, 3) lie in the

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