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Find the length of the perpendicular dra...

Find the length of the perpendicular drawn from the origin to the plane 2x `\ 3y+6z+21=0.`

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The correct Answer is:
3 units
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(i) Find the distance from (1,2,3 ) to the plane 2x + 3y - z + 2 = 0 . Find the length of perpendicular drawn from the origin to the plane 2x - 3y + 6z + 21 = 0.

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(a) Find the length and the foot of the perpendicular from : P (1,1,2) to the plane 2x - 2y + 4z + 5 = 0 (b) Find the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 2x - 3y + 4z - 6 = 0.

Find the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 3x + 4y – 6z + 1 = 0. Find also the co-ordinates of the point on the line which is at the same distance from the foot of the perpendicular as the origin is.

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RS AGGARWAL-THE PLANE-Exercise 28J
  1. The equation of a plane parallel to x-axis is

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  2. Write the intercept cut off by the plane 2x+y-z=5 on x-a xi sdot

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  3. Write the intercepts made by the plane 4x-3y+2z=12 on the coordinate a...

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  4. Reduce the equation 2x-3y+5z+4=0 to intercept form and find the interc...

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  5. Find the equation of a plane passing through the points A(a,0,0), B(0,...

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  6. Write the value of k for which the planes 2x-5y+kz=4 and x+2y-z=6 are ...

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  7. Find the angle between the planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7...

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  8. Find the angle between the planes vecr.(hati+hatj)=1 and vecr.(hati+ha...

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  9. Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr....

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  10. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  11. Find the angle between the line vecr=(hati+hatj-2hatk)+lambda(hati-hat...

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  12. Find the value of lambda such that the line (x-2)/6=(y-1)/lambda=(z+5)...

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  13. Find the equation of the plane passing through (a,b,c) and paralle tot...

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

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  15. Find the direction cosines of the perpendicular from the origin to th...

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  16. Show that the line vecr=(4hati-7hatk)+lambda(4hati-2hatj+3hatk) is par...

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  17. Find the length of perpendicular from the origin to the plane vecr.(2h...

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  18. Find the value of lambda for which the line (x-1)/2=(y-1)/3=(z-1)/lamb...

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  19. Write the angle between the line (x-1)/2=(y-2)/1=(z+3)/-2 and the plan...

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  20. Write the equation of a plane passing through the point (2,-1,0) and p...

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