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Equation of a line in the plane `pi =2x-y+z-4=0` which is perpendicular to the line `l` whose equation is `(x-2)/1=(y-2)/(-1)=(z-3)/(-2)` and which passes through the point of intersection of `l` and `pi` is (A) `(x-2)/1=(y-1)/5=(z-1)/(-1)` (B) `(x-1)/3=(y-3)/5=(z-5)/(-1)` (C) `(x+2)/2=(y+1)/(-1)=(z+1)/1` (D) `(x-2)/2=(y-1)/(-1)=(z-1)/1`

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The equation of a plane which passes through the point of intersection...

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  2. If the foot of the perpendicular from the origin to plane is P(a ,b ...

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  3. Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular...

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  4. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

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  5. The coordinates of the foot of the perpendicular drawn from the orig...

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  6. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

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  7. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

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  8. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-3y ...

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  9. Consider the planes 3x-6y-2z-15 =0 and 2x+y-2z - 5=0 Statement 1:The ...

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  10. The length of projection of the line segment joining the points (1,0,-...

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  11. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

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  12. Perpendiculars are drawn from points on the line (x+2)/2=(y+1)/(-1)=z...

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  13. The point P is the intersection of the straight line joining the point...

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  14. A line l passing through the origin is perpendicular to the lines l1: ...

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  15. Two lines L1: x=5, y/(3-alpha)=z/(-2) and L2: x=alpha, y/(-1)=z/(2-alp...

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  16. The projection of point P( vec p) on the plane vec r. vec n=q is ( v...

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  17. The angle between i and line of the intersection of the plane vec r ....

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  18. From the point P(a ,b ,c), let perpendicualars P La n dP M be drawn to...

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  19. The plane vec rdot vec n=q will contain the line vec r= vec a+lambd...

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  20. Consider triangle A O B in the x-y plane, where A-=(1,0,0),B-=(0,2,0)a...

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