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

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Write the equation of the plane passing through (1,2,3) and parllel to the plane x+2y+5z=0 .

Write the equation of the plane perpendicular to z-axis and passing through (1,-2,4).

Write the equation of the plane passing through the point(1,-2,3)and perpendicular to the y-axis.

Write the equation of the plane parallel to x-axis having intercepts 5 and 6 on y and z-axis respectively.

Write the equation of the line passing through (-3, 1, 2) and perpendicular to the plane 2y - z=3.

Find the equation of the plane which passes through (1, 1, 2) and parallel to the plane x + 2y - z = 5.

Write the equation of X-axis in space.

ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -TOPIC -2- PRACTICE QUESTIONS
  1. Write the equation of the plane passing through the point (3, -6, -9) ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

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  17. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

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  18. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  19. Prove that the four points (0, 4, 3), (-1, -5, -3), (-2, -2, 1) and (1...

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  20. Find the equation of the plane passing through the line x = y = z and ...

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