Self Studies

Three-dimension...

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  • Question 1
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    Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.

  • Question 2
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    The distance between the planes 3x –2y + 6z + 21 = 0 and –6x + 4y –12z + 35 = 0 is:​

  • Question 3
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    The distance of the point (2, 3, –5) from the plane x + 2y –2z = 9 is:​

  • Question 4
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    The angle between the planes  and   is

  • Question 5
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    The foot of the perpendicular drawn from the (- 1, –3, –5) to a plane is (2, 4, 6). The equation of the plane is:​

  • Question 6
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    A point is 5 units away from the vertical plane and 4 units away from profile plane and 3 units away from horizontal plane in 1st quadrant then the projections are drawn on paper the distance between the front view and top view of point is _____________

  • Question 7
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    The distance of the plane 6x –2y + 3z = 12 from the origin is:​

  • Question 8
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    The distance of the point    from the plane   is:​

  • Question 9
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    Distance of the point P (1, 1, p) from the plane whose equation is is  

  • Question 10
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    The angle between the line   and the plane 2x –y + 2z + 7 = 0 is:

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