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Find the equation of the plane containin...

Find the equation of the plane containing the line `(x+1)/3=(y-3)/5=(z+2)/(-2)` and the point `(0,7,-7)` and show that the line `x/1=(y-7)/(-3)=(z+7)/2` also lies in the same plane.

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. A plane passes through the point (1,-2,5) and is perpendicular to the ...

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  2. Find the vector and Cartesian equations of the plane containing the tw...

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  3. Find the equation of the plane containing the line (x+1)/3=(y-3)/5=(z+...

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  4. If the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y+4z-k a...

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  5. Equation of plane which passes through the intersection point of the l...

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

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

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

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

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

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

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

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

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

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

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

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

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

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