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Two systems of rectangular axes have the...

Two systems of rectangular axes have the same origin. If a plane cuts them at distances `a ,b ,ca n da^(prime),b^(prime),c^(prime)` respectively, prove that `1/(a^2)+1/(b^2)+1/(c^2)=1/(a^('2))+1/(b^('2))+1/(c^('2))`

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RD SHARMA ENGLISH-THE PLANE -All Questions
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  2. Find the equation of the plane passing through (a ,b ,c) and parallel ...

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  3. Two systems of rectangular axes have the same origin. If a plane cuts ...

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  4. A variable plane is at a constant distance p from the origin and meets...

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  5. Find the equation of the plane passing through the intersection of the...

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  6. Find the equation of the plane through the line of intersection of ve...

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  7. Find the equation of the plane which is perpendicular to the plane 5x+...

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  8. Find the equation of a plane through the intersection of the planes v...

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  9. Find the vector equation of the following plane in non-parametric fo...

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  10. Find the vector equation of the plane vec r=(1+s-t) hat i+(2-s) hat ...

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  11. Find the Cartesian form the equation of the plane vec r=(s-2t) hat i...

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  12. Find the vector equation of the following plane in scalar product form...

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  13. The plane x-2y+3z=0 is rotated through a right angle about the line of...

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  14. The plane l x+m y=0 is rotated through an angle alpha about its line o...

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  15. Find the vector equation of the line passing through the point (1,-1,2...

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  16. Find the vector equation of the plane passing through the intersection...

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  17. If 30 oxen can plough 1/7th of the field in 4 hrs , in how many hour w...

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  18. Find the equation of the plane through the points (1,0,-1),(3,2,2) and...

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  19. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

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  20. Show that the line whose vector equation is vec r=(2 hat i-2 hat j+3)...

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