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If the planes x-c y-b z=0,c x=y+a z=0a n...

If the planes `x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0` pass through a straight line, then find the value of `a^2+b^2+c^2+2a b cdot`

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

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  2. A point P moves on a plane x/a+y/b+z/c=1. A plane through P and perpen...

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  3. If the planes x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0 pass through a s...

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

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  5. A variable plane passes through a fixed point (alpha,beta,gamma) an...

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  6. Show that the straight lines whose direction cosines are given by the ...

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  7. The perpendicular distance of a corner of uni cube from a diagonal not...

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  8. If the direction cosines of a variable line in two adjacent points be ...

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  9. the image of the point (-1,3,4) in the plane x-2y=0 a.(-(17)/(3),(19)/...

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  10. The ratio in which the plane vec rdot (vec i-2 vec j+3 vec k )=17 d...

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  11. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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  12. The distance between the line vec r=2 hat i-2 hat j+3 hat k+lambda...

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  13. If angle theta bertween the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane...

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  14. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

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  15. A plane makes intercepts O A ,O Ba n dO C whose measurements are a,b ...

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  16. The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+...

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  17. The shortest distance from the plane 12 x+4y+3z=327 to the sphere ...

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  18. A line makes an angel theta with each of the x-and z-axes. If the ...

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  19. Find the equation of a straight line in the plane vec r* vec n=d ...

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  20. What is the nature of the intersection of the set of planes x+a y+(b...

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