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find the angle between the line(x+1)/2=y...

find the angle between the line`(x+1)/2=y/3=(z-3)/6 ` and the plane is `10x+2y-11z=3`

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To find the angle between the given line and the plane, we can follow these steps: ### Step 1: Identify the direction ratios of the line The line is given in the symmetric form: \[ \frac{x + 1}{2} = \frac{y}{3} = \frac{z - 3}{6} \] From this, we can extract the direction ratios of the line. The direction ratios can be represented as: ...
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Find the angle between the line (x+1)/2=y/3=(z-3)/6 and the plane 10 x + 2y -11 z = 3 .

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CENGAGE ENGLISH-THREE-DIMENSIONAL GEOMETRY -SUBJECTIVE TYPE
  1. If a variable line in two adjacent positions has direction cosines l,m...

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  2. Find the equation of the plane containing the line (y)/(b)+(z)/(c)=1,x...

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  3. A variable plane passes through a fixed point (a,b,c) and meets the ...

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  4. Show that the straight lines whose direction cosines are given by th...

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  5. The perpendicular distance of a corner of uni cube from a diagonal not...

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  6. A point P moves on a plane x/a+y/b+z/c=1. A plane through P and perpen...

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  7. If the planes x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0 pass through a s...

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  8. P is a point and P Ma n dP N are the perpendicular form Ptoz-xa n dx-y...

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

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

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  11. find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4 and (...

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

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  13. OA, OB and OC, with O as the origin, are three mutually perpendicular ...

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  14. O is the origin and lines OA, OB and OC have direction cosines l(r),m(...

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

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  17. Prove that the volume of tetrahedron bounded by the planes vecr.(mha...

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