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Show that lines (x-2)/5=(y+1)/1=(z-2)/-6...

Show that lines `(x-2)/5=(y+1)/1=(z-2)/-6 and (x+3)/-8=(y-2)/-1=(z-8)/7` are coplanar.

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Show that the lines (x-1)/2=(y-3)/-1=z/-1 and (x-4)/3=(y-1)/-2=(z-1)/-1 are coplanar. Also find the equation of the plane containing these lines.

The lines (x-2)/1=(y-3)/2=(z-4)/(-2k) and (x-1)/k=(y-2)/3=(z-6)/1 are coplanar if

Show that the lines (x-3)/2=(y+1)/(-3)=(z+2)/1 and (x-7)/(-3)=y/1=(z+7)/2 are coplanar. Also find the equation of the plane containing them.

Show that the lines (x-3)/2=(y+1)/(-3)=(z+2)/1 and (x-7)/(-3)=y/1=(z+7)/2 are coplanar. Also find the equation of the plane containing them.

Show that the lines (x+1)/-3=(y-3)/2=(z+2)/1 and x/1=(y-7)/-3=(z+7)/2 are coplanar. Find the equation of the plane containing these lines.

Prove that the lines (x-2)/1=(y-4)/4=(z-6)/7 and (x+1)/3=(y+3)/5=(z+5)/3 are coplanar. Also find the equation of the plane containing these lines.

Show that the lines (5-x)/-4=(y-7)/4=(z+3)/-5 and (x-8)/7=(2y-8)/2=(z-5)/3 are coplaner. Find the equation of the plane containing these lines.

Show that the lines (x-1)/1 = (y-1)/(-2)=(z-1)/1 and (x-2)/5 = (y+1)/1 = (z-2)/(-6) are coplanar.

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
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  2. Find the equation of the plane through the points A(3, 2, 0), B(1, 3, ...

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  3. Find equation of the plane through (2, 1, 4), (1, -1, 2) and (4, -1, 1...

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  4. Find the equation of the plane containing the points P(2, 3, -1), Q(6,...

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  5. A plane meets the coordinates axis in A, B, C such that the centroid o...

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  6. A variable plane is at a constant distance p from the origin and meets...

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  7. Find the vector equation of a plane containing line of intersection of...

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  8. Find the equation of the plane through the line of intersection of the...

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  9. Find an equation for the plane through P(0)=(1, 0, 1) and passing thro...

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  10. Find the equation of a plane containing the line of intersection of...

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  11. Show that lines (x-2)/5=(y+1)/1=(z-2)/-6 and (x+3)/-8=(y-2)/-1=(z-8)/7...

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  12. Find x such that the four points A\ (3,\ 2,\ 1), B(4, x ,\ 5), C\ (4,...

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

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

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  15. Find the angle between the line (x-1)/3=(y+1)/2=(z-1)/4 and plane 2x +...

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

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  17. Find the perpendicular distance from the point P(2, 3, -4) to the plan...

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  18. Find the vector equation of the plane passing through the intersection...

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  19. Find the distance of the point (-2, 3, -5) from the line (x+2)/1=(y-3)...

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

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