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Show that the lines (x-a+d)/(alpha-de...

Show that the lines `(x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alpha+delta)` and `(x-b+c)/(beta-gamma)=(y-b)/beta=(z-b-c)/(beta+gamma)` are coplanar.

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`The correct option is B x -2y + z =0`
`The lines will be coplanar
∣ ∣ ∣ ∣ `a − ...
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NCERT ENGLISH-THREE DIMENSIONAL GEOMETRY-SOLVED EXAMPLES
  1. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

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  2. Find the distance between the point P(6, 5, 9)and the plane determine...

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

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  4. Find the equation of the plane that contains the point (1, -1, 2)and...

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  5. A line makes angles angle, beta, gamma and delta with the diagonals of...

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  6. Find the coordinates of the point where the line through the points...

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  7. Find the vector equation for the line passing through the points (1, 0...

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  8. Find the vector and the Cartesian equations of the line through the p...

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  9. Show that the points A (2, -3, -4), B (1, 2, 3)and C (3, -8, -11)ar...

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  10. Find the direction cosines of x, y and z-axis.

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  11. Find the direction cosines of the line passing through the two points...

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  12. If a line has direction ratios 2,1,2.determine its direction cosines.

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  13. If a line makes angle 90^@, 60^@and 30^@with the positive direction ...

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  14. Find the angle between the pair of lines given by vecr=3 hat i+2 ha...

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  15. The Cartesian equation of a line is (x+3)/2=(y-5)/4=(z+6)/2. Find th...

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  16. Show that the lines (x+3)/(-3)=(y-1)/1=(z-5)/5and (x+1)/(-1)=(y-2)/2=(...

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  17. Find the vector equation of the plane passing through the intersectio...

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

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

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  20. Find the distance of a point (2, 5, 3)from the plane vecr.(6 hat i-...

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