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The image of the point (1, 3, 4) in the ...

The image of the point (1, 3, 4) in the plane `2x-y+z+3=0` is `(3,\ 5,\ 2)` b. `(-3,5,\ 2)` c.`(3,\ 5,\ -2)` d. `(3,\ -5,\ 2)`

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Find the image of the point P (3, 5, 7) in the plane 2x + y + z=0 .

Find the reflection of the point (1,\ 2,\ -1) in the plane 3x-5y+4z=5.

Find the image of the point (2,-3,4) with respect to the plane 4x+2y-4z+3=0

Find the image of the point (0,2,3) in the line (x+3)/(5)= (y-1)/(2) = (z+4)/(3) .

Find the image of the line (x-1)/3=(y-2)/4=(z-3)/5 on the plane x-2y+z+2=0 .

The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line (1) (x+3)/3=(y-5)/1=(z-2)/(-5) (2) (x+3)/(-3)=(y-5)/(-1)=(z+2)/5 (3) (x-3)/3=(y+5)/1=(z-2)/(-5) (3) (x-3)/(-3)=(y+5)/(-1)=(z-2)/5

Column I, Column II Image of the point (3,5,7) in the plane 2x+y+z=-18 is, p. (-1,1,-1) The point of intersection of the line (x-2)/(-3)=(y-1)/(-2)=(z-3)/2 and the plane 2x+y-z=3 is, q. (-21 ,-7,-5) The foot of the perpendicular from the point (1,1,2) to the plane 2x-2y+4z+5=0 is, r. (5/2,2/3,8/3) The intersection point of the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2=z is, s. (-1/(12),(25)/(12),(-2)/(12))

The equation of the plane through the point (1,2,3) and parallel to the plane x+2y+5z=0 is

Find the distance of the point (2, 3, 4) from the plane 3x + 2y + 2z + 5= 0 measured parallel to the line (x+3)/3=(y-2)/6=z/2 .

The distance of the point (1, 2, 3) from the plane x+y-z=5 measured along the straight line x=y=z is 5sqrt(3) (2) 10sqrt(3) (3) 3sqrt(10) 3sqrt(5) (5) 2sqrt(5)

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

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  2. Find the length of the perpendicular drawn from the origin to the p...

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  3. Write the vector equation of the line passing through the point (1, -2...

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  4. Write the vector equation of the plane passing through the point (a, b...

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  5. The acute angle between the planes 2x-y+z=6\ a n d\ x+y+2z=3 is 45^0\ ...

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  6. The equation of the plane through the point of intersection of plane x...

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  7. The distance between the planes 2x+2y-z+ 2=0\ a n d\ 4x+4y-2z+5=0 is a...

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  8. The image of the point (1, 3, 4) in the plane 2x-y+z+3=0 is (3,\ 5,\ 2...

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  9. Find the vector equation of the following plane in scalar product form...

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  10. The distance of the line vec r=2 hat i-2 hat j+3 hat k+lambda( hat i-...

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  11. The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and par...

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  12. The vector equation of the plane containing the line vec r=(-2 hat ...

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  13. A plane meets the coordinate axes at A ,\ B ,\ C such that the centroi...

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  14. The distance between the point (3,4, 5) and the point where the line (...

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  15. A vector parallel to the line of intersection of the planes vec r=dot...

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  16. If plane passes through the point (1, 1,1) and is perpendicular to the...

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  17. The equation of the plane parallel to the lines x-1=2y-5=2z and 3x = 4...

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  18. The distance of the point (-1, -5, -10) from the point of intersection...

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  19. The equation of the plane through the intersection of the plane a x+b ...

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  20. The equation of the plane which cuts equal intersects of unit length o...

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