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If the areas of triangles formed by a pl...

If the areas of triangles formed by a plane with the positive x, y, y, z, 2, x axes respectively are 12,9, 6 sq. unit respectively then the equation of the plane is

A

`x/4 + y/6 + z/3 = 1 `

B

`x/6 + y/3 + z/4 = 1 `

C

`x/3 + y/4 + z/6 = 1`

D

`x/3 + y/6 + z/4 = 1`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-THE PLANE-EXCERISE 1
  1. The intercepts form of 6x – 3y – 2z + 12 = 0 is

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  2. The area of the triangle formed by x/4 + y/3 - z/2 = 1 with x-axis and...

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  3. If the areas of triangles formed by a plane with the positive x, y, y,...

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  4. If the plane 7x + 11y + 13z = 3003 meets the coordinate axes in A, B, ...

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  5. Find the angle between the planes 2x - y + z = 6 and x + y + 2 z = 7 .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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