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The line through of the plane passing th...

The line through of the plane passing through the lines `(x-4)/(1)=(y-3)/(1)=(z-2)/(2) and (x-3)/(1)=(y-2)/(-4)=(z)/(5)` is

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Find the equation of the plane passing through the parallel lines (x-3)/(3) = (y+4)/(2) = (z-1)/(1) and (x+1)/(3)= (y-2)/(2) = z/1 .

Find the equation of a plane passing through the parallel lines (x-3)/(1) = (y+2)/(-4) = z/5 and (z-4)/(1) = (y-3)/(-4) = (z-2)/(5) are coplanar. Also find the equation of plane in which these lines lie.

Equation of the plane passing through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2)&(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x+5)/(2)=(y-3)/(3)=(z+1)/(1) is

Find the equation of the plane passing through the line (x-1)/5=(y+2)/6=(z-3)/4 and point (4,3,7)dot

Find the equation of the lines passing through the point (2, 1, 3) and perpendicualr to the lines (x-1)/(1)=(y-2)/(2)=(z-3)/(3)andx/(-3)=y/(2)=z/(5) .

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

The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

Find the equation of the plane passing through (1,2,0) which contains the line (x+3)/3=(y-1)/4=(z-2)/(-2)

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1)a n d=(x+3)/8=(y-4)/1=z/(-4) and passing through the origin is/are a. 14 x-5y-7z=0 b. 2x+7y-z=0 c. 3x-4y-z=0 d. x+2y-5z=0

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1)a n d=(x+3)/8=(y-4)/1=z/(-4) and passing through the origin is/are a. 14 x-5y-7z=0 b. 2x+7y-z=0 c. 3x-4y-z=0 d. x+2y-5z=0

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Show that the lines vec r=(2 hat j-3 hat k)+lambda( hat i+2 hat j+3 h...

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  2. Show that the lines (x+1)/(-3)=(y-3)/2=(z+2)/1\ a n d\ x/1=(y-7)/(-3)=...

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  3. The line through of the plane passing through the lines (x-4)/(1)=(y-3...

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  4. Show that the plane whose vector equation is vec rdot( hat i+2 hat j=...

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  5. Find the vector equation of the plane passing through the points (3, ...

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

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  7. Find the vector equation of the plane passing through three points w...

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  8. Show that the lines (x-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-...

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  9. Find the equation of a plane which passes through the point (3, 2, ...

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  10. Find the shortest distance between the lines (x-2)/(-1)=(y-5)/2=(z-0)/...

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  11. Find the shortest distance between the lines , (x-1)/2=(y-3)/4=(z+2)/1...

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  12. Find the length and the foot of the perpendicular from the point (7...

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  13. Find the image of the point O(0,0,0) in the plane 3x+4y-6z+1=0

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  14. Find the reflection of the point (1,\ 2,\ -1) in the plane 3x-5y+4z=5.

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  15. Find the coordinates of the foot of the perpendicular drawn from the ...

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  16. Find the coordinates of the foot of the perpendicular from the point ...

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  17. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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  18. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

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  19. Find the co-ordinates of the foot of perpendicular and the length of p...

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  20. Find the distance of the point with position vector -hat i-5 hat j-10...

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