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Find the coordinates of the point where the line through (3,-4,-5) and (2,-3,1) crosses the plane 2x+y+z=7.

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Find the coordinates of the point where the line through (5,1,6) and (3,4,1) crosses the ZX-plane .

Find the coordinates of the point where the line through (5,1,6) and (3,4,1) crosses the YZ -plane.

Find the coordinates of the point where the line through the points A(3,4, 1) and B(5, 1,6) crosses the XY plane.

Consider the points A(-2,4,7) and B(3,-5,8) . i. If P divides AB in the ratio k : 1, then find the coordinates of P. ii. Find the coordinates of the point where the line segment AB crosses the YZ-plane.

Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2:3 .

Find the equation of the plane which passes through the point (3,4,-1) and is parallel to the plane 2x - 3y + 5z + 7 = 0. Also, find the distance between the two planes.

Find the vector and cartesian equation of the plane passing through (2, -1, -3) and botr to the planes 3x+2y-4z=1 and 2x+3y+2z=7 .

Find the vector and cartesian equation of the plane passing through (2, -1, -3) and parallel to the line (x-5)/(3)=(y+1)/(2)=(z-3)/(-4) and (x+10)/(2)=(y-10)/(3)=(z-2)/(2)

Find the distance of the point (2, 3, -2) from the point of intersection of the straight line passing through the points A(3, 0, 1) and B(6, 4, 3) with the plane x+y-z=7 .

NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Ncert Miscellaneous Exercise
  1. If l1,m1,n1 and l2,m2,n2 are the direction cosines of two mutually per...

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  2. Find the angle between the lines whose direction ratios are a,b,c and ...

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  3. Find the equation of a line parallel to x-axis and passing through the...

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  4. If the coordinates of the points A,B,C,D be (1,2,3),(4,5,7),(-4,3,-6) ...

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  5. If the lines (x-1)/(-3) =(y-2)/(2k) =(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z...

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  6. Find the vector equation of the line passing through (1,2,3) and perpe...

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  7. Find the equation of the plane passing through (a,b,c) are parallel to...

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  8. Find the shortest distance between the lines vecr=6hati+2hatj+2hatk+la...

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  9. Find the coordinates of the point where the line through (5,1,6) and (...

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  10. Find the coordinates of the point where the line through (5,1,6) and (...

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  11. Find the coordinates of the point where the line through (3,-4,-5) and...

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  12. Find the vector and cartesian equations of the plane passing through t...

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  13. If the points (1,1,p) and (-3,0,1) are equidistant from the plane vecr...

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  14. Find the equation of the plane passing through the line of intersectio...

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  15. If O is the origin and the coordinates of P be (1,2,-3) , then find th...

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  16. Find the equation of the plane which contains the line of intersection...

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  17. Find the angle between the line vecr=(2hati+2hatj+hatk)+lambda(2hati-3...

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  18. Find the vector equation of the line passing through (1,2,3) and paral...

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  19. If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...

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  20. The planes 2x -y+4z=5 and 5x-2.5y+10z=6 are

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