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Find the equation of the plane through the line of intersection of the planes given by the.equations 2x + 3y - z = - 1 and x + y- 2z = - 3 which is perpendicular to the plane given by the equation 3x-y-2z= 4.

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Find the equation of the plane through the line of intersection of the planes given by the equations 2x + 3y - z = -1 and x + y - 2 z = -3 which is perpendicular to the plane given by the equation 3x - y - 2z = 4.

Find the equation of the plane through the line of intersection of the planes given by the equations x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane given by the equation x - y + z = 0.

Find the equation of the plane through the line of intersection of the planes given by the equations x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane given by the equation x - y + z = 0.

Find the equation of the plane through the line of intersection of the planes given by the equations x + 2y + 3z = 4, 2x + y - z = - 5 which is perpendicular to the plane given by the equation 5x + 3y + 6z·= - 8 .

Find the equation of the plane through the line of intersection of the planes given by the equations x + 2y + 3z = 4 and 2x + y - z = -5 which is perpendicular to the plane given by the equation 5x + 3y + 6z = -8.

Find the equation of the plane through the intersection of the planes : 3x - y + 2z - 4 = 0 and x + y + z - 2 = 0 and the point (2, 2, 1 ).

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 and x+y+z-2 = 0 and the point (2, 2, 1).।

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0 and x-y+z+3=0 and passing through the origin.

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the equation of the plane through the line of intersection of the...

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  2. Find the direction cosines of a line which makes equal angles with the...

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  3. If the equations of a line AB are (3-x)/1 = (y+2)/-2 = (z-5)/4, then t...

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  4. If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...

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  5. Find the vector equation of a line passing through (2, -1, 1) and para...

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  6. Find the vector equation of the line through the point (2,-1,-1) and i...

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  7. Find the point on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distance...

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  8. Find the coordinates of the point where the line through (3, 4, 1) and...

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  9. Find the coordinates of the point where the line through (3, – 4, – 5)...

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  10. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

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  11. Find the vector and cartesian equation of a line through the point (1,...

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  12. Find the vector and cartesian equation of the line passing through the...

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  13. Find the equation of the line passing through the point (2, -1, 3) and...

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  14. Find the equation of a line passing through the points A(0, 6, -9) and...

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

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  16. Find the co ordinates of the foot of perpendicular and the length of t...

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  17. Find the shortest distance between the lines : vecr=hati-hatj+lamda(...

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  18. Find the shortest distance between the following lines whose vector eq...

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  19. Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lam...

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  20. Find the shortest distance (S.D.) between the lines : vecr=hatj+lamd...

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  21. Write the vector equation of the following lines and hence find distan...

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