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Write the ratio in which the plane 4x+5y...

Write the ratio in which the plane `4x+5y-3z=4` divides the line segment joining points `(-2,1,5)` & `(3,3,2)`

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`x\(x_{1} y_{1} z_{1}) \quad l(x_{2} y_{2} z_{2})`

ratio `=(\frac{a x_{1}+b y_{1}+c z_{1}+d}{a x_{2}+b y_{2}+c z_{2}+d}) \quad` `\quad a x+b y+c z+d=0`

at `(-2,1,5)`

=`-8+5-15-4`

=`-22`

At `(3,3,2)`

=`12+15-6-4`

...
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RD SHARMA-THE PLANE -Solved Examples And Exercises
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  10. Write the value of k for which the line (x-1)/2=(y-1)/3=(z-1)/(k) is p...

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

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

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

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

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

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

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  18. The image of the point (1, 3, 4) in the plane 2x-y+z+3=0 is (3,\ 5,\ 2...

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

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