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Find the shortest distance between the skew-line4s `l_1:(x-1)/2=(y+1)/1=(z-2)/4` and `l_2 : (x+2)/4=(y-0)/(-3)=(z+1)/1`

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Equation of plane which passes through the intersection point of the l...

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  2. Find the coordinates of the point where the line (x-2)/3=(y+1)/4=(z-2)...

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  3. Find the shortest distance between the skew-line4s l1:(x-1)/2=(y+1)/1...

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  4. Find the distance between the line vec r=(- hat i+3 hat k)+lambda( ha...

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  5. Find the shortest distance between the lines (x-2)/2=(y+1)/3=(z-0)/4a ...

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  6. Find the image of the point having position vector hati + 3hatj + 4hat...

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  7. A plane meets the coordinate axes at A ,Ba n dC respectively such that...

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  8. Find the equation of a plane which meets the axes in A ,Ba n dC , give...

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  9. Show that the four points (0,-1,-1),(-4,4,4),(4,5,1)a n d(3,9,4) are ...

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  10. If from a point P(a ,b ,c) prpendiculars P Aa n dP B are drawn to y za...

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  11. Find the equation of the plane through the points A(2,2,-1),B(3,4,2)a ...

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  12. A variable plane moves in such a way that the sum of the reciprocals o...

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  13. A plane meets the coordinate axes in A ,B ,C such that the centroid of...

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  14. Write the equation of the plane whose intercepts on the coordinate axe...

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  15. Show that the four point (0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4) are co...

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  16. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

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  17. Find the image of the point with position vector 3 hat i+ hat j+2 hat ...

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  18. Find the length and the foot of perpendicular from the point (1,3//...

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  19. Find the distance between the point with position vector hat i-5 hat ...

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

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