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Find the plane passing through (4,-1,2) ...

Find the plane passing through `(4,-1,2)` and parallel to the lines `(x+2)/3=(y-2)/(-1)=(z+1)/2a n d(x-2)/1=(y-3)/2=(z-4)/3`

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Equation of plane is: -
`a(x-4)+b(y-1)+c(z-2)=0 \text {. }`
Now, since it is parallel to line
`\frac{x+2}{3}=\frac{y-2}{-1}=\frac{z+1}{2}`
...
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RD SHARMA-THE PLANE -Solved Examples And Exercises
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  2. State when the line vec rdot vec a+lambda vec b is parallel to the pl...

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  3. Find the plane passing through (4,-1,2) and parallel to the lines (x+2...

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  4. Find the angle between the lines vec rdot=( hat i+2 hat j+ hat k)+lam...

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  5. Find the angle between the lines x-2y+z=0=x+2y-2za n dx+2y+z=0=3x+9y+5...

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  6. Find the distance between the parallel planes, vec rdot((2 hat i-3 ha...

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  7. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

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  8. Find the distance between the parallel planes vec rdot( hat i+2 hat j...

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  9. Find the equation of the plane which passes through the point (3,4,-1)...

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  10. Find the distance of the point (33,3) from the plane vec rdot(5 hat i...

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  11. Find the equations of the planes parallel to the plane x+2y-2z+8=0 wh...

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  12. Find the distance between the parallel planes x+y-z+4=0a n dx+y-z+5=0.

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  13. Find the equation of the plane through the intersection of the planes ...

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  14. If the line drawn from (4,-1,2) meets a plane at right angles at the p...

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  15. If O is the origin and the coordinates of A are (a ,b , c) . Find the ...

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  16. Find the vector equation of a lane passing through a point having p...

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  17. The foot of perpendicular drawn from the origin to the plane is (4,-2,...

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  18. If he line drawn from the point (-2,-1,-3) meets a plane at right angl...

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  19. Find the equation of the plane which bisects the line segment joining ...

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  20. Find the equation of the plane passing through the point (1,-1,2) havi...

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