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Consider a set of point R in which is a...

Consider a set of point R in which is at a distance of 2 units from the line `(x)/(1)= (y-1)/(-1)= (z+2)/(2)` between the planes `x-y+2z-3=0 and x-y+2z-2=0`. (a) The volume of the bounded figure by points R and the planes is `(10/3sqrt3)pi` cube units (b) The area of the curved surface formed by the set of points R is `(20/sqrt6)pi` sq. units (c)The volume of the bounded figure by the set of points R and the planes is `(20/sqrt6)pi` cubic units. (d) The area of the curved surface formed by the set of points R is `(10/sqrt3)pi` sq. units

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

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  2. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

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  3. Consider a set of point R in which is at a distance of 2 units from t...

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  4. Consider the lines L1:(x-1)/2=y/(-1)=(z+3)/1,L2:(x-4)/1=(y+3)/1=(z+3)/...

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  5. Statement 1: A plane passes through the point A(2,1,-3)dot If distan...

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  6. Consider the following linear equations: a x+b y+c z=0 b x+c y+a z=0 c...

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  7. If the distance between the plane Ax-2y+z=d. and the plane containing ...

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  8. Prove that the volume of tetrahedron bounded by the planes vec rdo...

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  9. If a variable plane forms a tetrahedron of constant volume 64k^3 with ...

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  10. O A ,O Ba n dO C ,w i t hO as the origin, are three mutually perpen...

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  11. Prove that for all values of lambda and mu , the planes (2x)/a+y/b+(...

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  12. If P is any point on the plane l x+m y+n z=pa n dQ is a point on the l...

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  13. find the equation of the plane with intercepts 2,3 and 4 on the x, y a...

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  14. A variable plane l x+m y+n z=p(w h e r el ,m ,n are direction cosines ...

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  15. If a line makes angles alpha,betaa n dgamma with three-dimensional c...

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  16. A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z = 4 ...

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  17. Let x-ysin alpha-zsin beta=0,xsin alpha+zsin gamma-y=0 and xsin beta+y...

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  18. The position vectors of the four angular points of a tetrahedron OABC ...

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  19. Find the distance of the point (-2,3,-4) from the line ("x"+2)/3=(2"...

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  20. The plane 4x+7y+4z+81=0 is rotated through a right angle about its ...

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