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Prove that the lines (x-2)/1=(y-4)/4=(z-...

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.

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`x -2y + z = 0`.
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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.

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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-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+3)/(-3)==(z-5)/(5);(x+1)/(-1)=(y-2)/(2)=(z-5)/(5) are coplanar. Also find the equation of the plane containing the lines.

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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.

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

NAVNEET PUBLICATION - MAHARASHTRA BOARD-PLANE -Example for Practice
  1. Find the vector equation of the plane passing through the point A(1, 0...

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  2. Find the vector equation of the plane passing through the point hati +...

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  3. Line barr = (hati - hatj + hatk) + lambda(2hati- hatj + hatk) containe...

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  4. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

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  5. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

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  6. Find the cartesian form of the equation of the plane. barr = (hati ...

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

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

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  9. Prove that the lines (x-2)/1=(y-4)/4=(z-6)/7 and (x+1)/3=(y+3)/5=(z+5)...

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  10. A variable plane which remains at a constant distance 3p from the orig...

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  11. Find the angle between the planes whose vector equations are barr ...

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  12. If the line barr = (hati - 2hatj + 3hatk) + lambda(2hati + hatj + 2hat...

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  13. The planes barr *(3hati - 2hatj + phatk) =1 and barr *(-2hati + phatj ...

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  14. Find the value of p, if the planes barr *(phati - hatj + 2hatk) + 3 = ...

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  15. Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(...

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  16. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  17. Find the distance of the point 2hati + hatj + hatk) from the plane bar...

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  18. Find the distance of the point (1, 2-1) from the plane x -2y + 4z - 10...

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  19. Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the...

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  20. Show that the points (1,-1,3) and (3, 4, 3) are equidistant from the p...

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