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If P be the point (2,6,3) then the equat...

If P be the point (2,6,3) then the equation of the plane through P at right angle to OP, O being the origin is

A

2x+6y+3z = 7

B

2x-6y+3z = 7

C

2x+6y-3z = 49

D

2x+6y+3z = 49

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If the coordinates of the vertices of a triangle ABC be A(-1,3,2), B(2...

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  2. The equation of the plane in which the lines (x-5)/4 = (y-7)/4 = (z+3)...

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  3. If P be the point (2,6,3) then the equation of the plane through P at ...

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  4. The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the t...

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  5. The intercepts of the plane 5x-3y+6z = 60 on the co-ordinate axes are

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  6. Equation of x-axis is

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  7. The angle between the line x/2 = y/3 = z/4 and the plane 3x+2y-3z = 4 ...

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  8. The equation of a line of intersection of planes 4x+4y-5z=12 and 8x+12...

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  9. The equation of the plane which makes with coordinate axes a triangle ...

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  10. A variable plane moves, so that the sum of the reciprocals of its inte...

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  11. Equation of the plane passing through the line of intersection of the ...

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  12. The point of intersection of the line (x-5)/3 = (y-7)/(-1) = (z+2)/1 ,...

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  13. The angle between the planes x+2y+2z =3 and -5x+3y+4z = 9 is

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  14. The distance of the point A(2,3,4) from x-axis is

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  15. The value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies on the ...

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  16. A variable plane at a distance of 1 unit from the origin cuts the coor...

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  17. A plane passes through (1, - 2, 1) and is perpendicular to the planes ...

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  18. The point (alpha, beta, gamma) lies on the plane x+y+z = 2. Let, vec a...

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  19. Let vec A be a vector parallel to the line of intersection of planes P...

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  20. Consider the lines L(1) = (x+1)/3 = (y+2)/1 = (z+1)/2, L(2) = (x-2)/1 ...

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