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A plane passes through (2, 3, -1) and is...

A plane passes through (2, 3, -1) and is perpendicular to the line having direction ratios 3, -4,7. The perpendicular distance from the origin to this plane is

A

`(3)/(sqrt74)`

B

`(5)/(sqrt74)`

C

`(6)/(sqrt74)`

D

`(13)/(sqrt74)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-THE PLANE-EXCERISE 1
  1. The equation of the plane passing through (3, 4,-2) and whose normal h...

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  2. A plane passing through (- 1, 2, 3) and whose normal makes equal angle...

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  3. A plane passes through (2, 3, -1) and is perpendicular to the line hav...

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  4. A plane prod passes through the point (1, 1, 1). If b, c, a are the di...

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  5. The equation of the plane which is at a distance of 5 unit from the or...

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  6. The equation of the plane having intercepts 2, 3, 6 is

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  7. The intercepts of the plane 2x – 3y + 5z – 30 = 0 are

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  8. The intercepts form of 6x – 3y – 2z + 12 = 0 is

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

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

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

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

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

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

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

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

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

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

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

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

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