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Write the equation of the plane passing ...

Write the equation of the plane passing through points `(a ,\ 0,\ 0),\ (0,\ b ,\ 0)a n d\ (0,\ 0,\ c)dot`

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Equation of plane:-`\frac{x}{\lambda_{1}}+\frac{y}{\lambda_{2}}+\frac{z}{\lambda_{3}}=1`

The equation of the plane passing through points `(a ,\ 0,\ 0),\ (0,\ b ,\ 0)a n d\ (0,\ 0,\ c)dot` is:- `\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1`
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RD SHARMA-THE PLANE -Solved Examples And Exercises
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  8. Write the equation of the plane vec r= vec a+lambda vec b+mu vec c\ ...

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  9. Write a vector normal to the plane vec r=l vec b+m vec c

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  10. Write the equation of the plane passing through (2, -1,1) and parallel...

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  11. Write the equation of the plane containing the lines vec r= vec a+lam...

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  12. Write the position vector of the point where the line vec r= vec a+la...

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  13. Write the value of k for which the line (x-1)/2=(y-1)/3=(z-1)/(k) is p...

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  14. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

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  15. Find the length of the perpendicular drawn from the origin to the p...

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  16. Write the vector equation of the line passing through the point (1, -2...

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  17. Write the vector equation of the plane passing through the point (a, b...

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  18. The acute angle between the planes 2x-y+z=6\ a n d\ x+y+2z=3 is 45^0\ ...

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  19. The equation of the plane thrugh the ointersection of lane x+2y+3z=4 a...

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  20. The distance between the planes 2x+2y-z+ 2=0\ a n d\ 4x+4y-2z+5=0 is a...

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