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Find the equations of the perpendicular drawn from the point (2,4,-1) to the line : `(x+5)/1=(y+3)/4=(z-6)/-9`

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Find the equation of the perpendicular drawn from the point P(2,4,-1) to the line : (x+5)/1=(y+3)/4=(z-6)/-9 . Also write down the co ordinates of the foot of the perpendicualr from P to the line.

Find the equation of the perpendicular drawn from the point (2,4,-1) to the line (x+5)/1=(y+3)/4=(z-6)/-9

Find the equations of the perpendicular from the point (3,-1,11,) to the line : x/2=(y-2)/3=(z-3)/4

Find the equations of the perpendicular from the point (3, -1, 11) to the line (x)/(2)=(y-2)/(3)=(z-3)/(4) . Also find the coordinates of the foot of the perpendicular and length of the perpendicular.

The length of the perpendicular drawn from the point (3, -1, 11) to the line (x)/(2)=(y-2)/(3)=(z-3)/(4) is

Find the length of the perpendicular from the point (1,2,3) to the line : (x-6)/3=(y-7)/2=(z-7)/-2

Find the length and foot of perpendicular drawn from the point (2,-1,3) to the line (x-11)/(10)=(y+2)/(-4)=(z+8)/(-11)

Find the length of the perpendicular drawn from point (2,3,4) to line (4-x)/2=y/6=(1-z)/3dot

Find the length of perpendicular drawn from the point (3,4,5) on the line (x-2)/(2)=(y-3)/(5)=(z-1)/(3) Also find the foot of perpendicular.

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the length of the perpendicular from the point (1,2,3) to the lin...

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  2. Find the perpendicular distance of the point (1,0,0) from the line : (...

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  3. Find the equations of the perpendicular drawn from the point (2,4,-1) ...

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  4. Find the length and foot of perpendicular drawn from the point (2,-1,3...

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  5. Find the equations of the straight line passing through the point (1, ...

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  6. Find the equation in vector anf cartesian form of the line passing thr...

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  7. Show that, if the axes are rectangular, the equations of the line thro...

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  8. Find the coordinates of the foot of the perpendicular drawn from point...

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  9. A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of ...

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  10. Find the equation of the line joining the points A(0,-1,3) and B(2,-3,...

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  11. Find the vector equation of the line joining the points A(1,-1,2) and ...

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  12. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

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  13. A line makes angles alpha, beta, gamma, delta with the diagonals of a ...

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  14. If the edges of a rectangular parallelopiped are a, b and c, show that...

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  15. Find the general solution of the following (1+sinx)dy=ydx

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  16. Prove that the two lines whose direction cosines are connected by the ...

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  17. Find the general solution of the following (1+secx)dy=y^2dx

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  18. Find the shortest distance between two lines whose vector equations ar...

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  19. Find the shortest distance between each of the following pair of lines...

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  20. Find the shortest distance between each of the following pair of lines...

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