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How many independent constants are there...

How many independent constants are there in the general equation of a plane `ax + by + c z + d = 0` ?

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The correct Answer is:
a, b and c
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ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -TOPIC -2- PRACTICE QUESTIONS
  1. What is the image of the point (—2, 3, —5) respect to the zx-plane ?

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  2. To which coordinate axis is the plane 2x+ 3z = 0 parallel ?

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  3. How many independent constants are there in the general equation of a ...

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  4. Find the equation of the plane, that passes through the point (-1,3,0)...

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  5. What is the image of the point (6, 3, -4) with respect to yz- plane ...

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  6. Write the equation of the plane passing through the point (3, -6, -9) ...

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  7. Write the angle between the planes 3x -5y + 2z-8 = 0 and 2x + 4y + 7z ...

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  8. Write the equation of the plane passes through y-axis and z-axis.

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  9. Write the distance between of the point of intersection to the plane a...

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  10. What are the direction cosines of the straight lines normal to plane 2...

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  11. The equation of plane perpendicular to z-axis and passing through (1, ...

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  12. The distance between the parallel planes 2x - 3y + 6z +1 = 0 and 4x - ...

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  13. The plane y-z+1=0 is

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  14. What is the angle between the planes y + x = 0 and z = 0 ? .

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  15. Determine the direction cosines of the normal to the plane and the dis...

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  16. Find the equation of the plane which passes through the point (1, 1, 2...

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  17. Find the equation of the plane with intercept 2, 3 and 4 on the X, Y a...

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  18. Show that the normals to the planes oversettor.(overset^i-overset^j+ov...

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  19. Find the vector equation of a plane which is at a distance of 3 units ...

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  20. If the position vectors of two points A ans B are 3overset^i+2overset^...

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