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Find the coordinates of the foot of the perpendicular drawn from the origin to the plane `3y+4z-6=0`.

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To find the coordinates of the foot of the perpendicular drawn from the origin to the plane given by the equation \(3y + 4z - 6 = 0\), we can follow these steps: ### Step 1: Identify the normal vector of the plane The equation of the plane can be rewritten in the standard form: \[ 0 \cdot x + 3y + 4z - 6 = 0 \] From this, we can identify the coefficients of \(x\), \(y\), and \(z\) which give us the direction ratios of the normal vector to the plane: ...
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Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x-3y+4z-6=0

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Find the co-ordinate of the foot of the perpendicular drawn form the origin to the plane 5y+8=0

(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 coordinates of the foot of the perpendicular drawn from the origin to the plane i) 2x+3y+4z-12=0 , ii) 5y+8=0 .

Find the coordinates of the foot of perpendicular drawn from origin to the planes: 5y+8=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.

Find the coordinates of the foot of perpendicular drawn from origin to the planes: 3y+4z-6=0

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RS AGGARWAL-THE PLANE-Objective Questions
  1. Find the coordinates of the foot of the perpendicular drawn from the o...

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  2. The direction cosines of the perpendicular from the origin to the plan...

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  3. The direction cosines of the normal to the plane 5y+4=0 are

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  4. The length of perpendicular from the origin to the plane vecr.(-3hati-...

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  5. The equation of a plane passing through the point A(2,-3,7) and making...

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  6. A plane cuts off intercepts 3,-4,6 on the coordinate axes. The length ...

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  7. If the line (x+1)/3=(y-2)/4=(z+6)/5 is parallel to the planes 2x-3y+kz...

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  8. यदि O मूल बिंदु तथा P के निर्देशांक (1 ,2 ,-3 ) है तो बिंदु P से जा...

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  9. The line (x-4)/1=(y-2)/1=(z-k)/2 lies exactly on the plane 2x=4y+z=7 t...

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  10. The plane 2x+3y+4z=12 meets the coordinate axes in A,B and C. The cent...

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  11. If a plane meets the coordinate axes in A,B and C such that the centro...

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  12. The equation of a plane through the point A(1,0,-1) and perpendicular ...

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  13. The line (x-1)/2=(y-2)/3=(z-3)/4 meets the plane 2x+3y-z=14 in the poi...

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  14. Find the equation of the plane through the points (2,2,1) and (9,3,6) ...

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  15. Find the equation of the plane through the intersection of the planes ...

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  16. The equation of the plane passing through the points A(0,-1,0), B(2,1,...

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  17. If the plane 2x-y+z=0 is parallel to the line (2x-1)/2=(2-y)/2=(z+1)/a...

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  18. The angle between the line (x+1)/1=y/2=(z-1)/1 and a normal to the pla...

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  19. The point of intersection of the line (x-1)/3=(y+2)/4=(z-3)/-2 and the...

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  20. The equation of a plane passing throgh the points A(a,0,0), B(0,b,0) a...

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  21. If theta is the angle between the planes 2x-y+2z=3 and 6x-2y+3z=5, the...

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