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The planes 2x - y + 4z = 5 and 5x - 2.5y...

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

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The plane 2x - y + 4z = 5 , 5x - 2.5y + 10z = 6 are :

Find the equation of the plane passing through the point (- 1 , - 1 , 2).and perpendicular to the planes : 3x + 2y - 3z = 1 and 5x - 4y + z = 5 .

Find the equation of the plane, which is perpendicular to the plane 5x + 3y + 6z + 8 = 0 , and which contains the line of intersection of the planes : x + 2y + 3z - 4 = 0 and 2x + y -:- z + 5 = 0 .

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 1 MARK (TYPE-III: (TRUE OR FALSE QUESTIONS))
  1. The points (1, 2, 3), (-2, 3, 4) and (7,0,1) are collinear.

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  2. The vector equation of the line passing through the points (3,5, 4) an...

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  3. The unit vector normal to the plane x+2y+3z-6=0 is (1)/(sqrt14)hati+(2...

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  4. The intercepts made by the plane 2 x – 3 y + 5z+4 = 0 on the co-ordina...

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  5. Show that the line , vecr=2hati-3hatj+5hatk+lambda(hati-hatj+2hatk) li...

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  6. The vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) is ........

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  7. The equation of a line, which is parallel to 2hati+hatj+3hatk and whic...

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  8. If the foot of perpendicular drawn from the origin to a plane is (5,-3...

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  9. A line can have 45^(@),60^(@),120^(@) as direction angles.

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  10. A line can have 45^(@),60^(@),120^(@) as direction angles.

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  11. If a line makes an angle of (pi)/(4) each of y and z axis, then the an...

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  12. Write the direction cosine of a line parallel to the line : (3-x)/3=(y...

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  13. Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are p...

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  14. The shortest distance between two parallel line vec(r)(2)=vec(a)(1)+la...

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  15. Find the intercepts cut off by the plane 2x+y-z = 5

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  16. Find the value of k for whicj the planes: 3x-6y-2z=7 and 2x+y-kz=5 are...

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

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