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If P1" and "P2 are the lenghts of the pe...

If `P_1" and "P_2` are the lenghts of the perpendicular from the points (2,3,4) and (1,1,4) respectively from the plane 3x-6y+2z+11=0, then `P_1" and "P_2` are the roots of the equation

A

`P^2-23P+7=0`

B

`7P^2-23P+16=0`

C

`P^2-17P+16=0`

D

`P^2-16P+7=0`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-PLANE-CRITICAL THINKING
  1. Lines (x)/(1)=(y-2)/(2)=(z+3)/(3)" and "(x-2)/(2)=(y-6)/(3)=(z-3)/(4) ...

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  2. If product of distance of point (1,2,-1) from planes 2x-3y+z+k=0 and x...

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  3. If P1" and "P2 are the lenghts of the perpendicular from the points (2...

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  4. Find the equation of a plane which is parallel to the plane x-2y+2z...

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  5. Find the locus of a point, the sum of squares of whose distances from ...

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  6. If p1,p2,p3 denote the distance of the plane 2x-3y+4z+2=0 from the pla...

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  7. A plane meets the co-ordinate axes at A,B,C such that the centroid of ...

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  8. A plane meets the co-ordinate axes at A,B,C and (alpha,beta,gamma) is ...

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  9. If plane 6x-3y+2z-18 meets co-ordinate axes at points A,B,C, then cent...

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  10. The plane ax + by + cz = 1 meets the coordinate axes in A, B, C. The c...

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  11. A plane a constant distance p from the origin meets the coordinate axe...

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  12. Foot of perpendicular of point (2,2,2) in the plane x+y+z=9 is

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  13. The plane passing through the point (5,1,2) perpendicular to the line ...

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  14. The equation of the plane passing through the intersection of the plan...

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  15. The plane 4x+7y+4z+81=0 is rotated through a right angle about its lin...

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  16. Equation of a plane bisecting the angle between the planes 2x-y+2z+3=0...

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  17. The line (x+3)/(3)=(y-2)/(-2)=(z+1)/(1) and the plane 4x+5y+3z-5=0 int...

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  18. The point at which the line joining the points (2, -3, 1) and (3, -4, ...

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  19. Find the distance of the point of intersection of the line (x-3)/1=(y-...

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  20. The distance of the point (1,-2,3) from the plane x-y+z=5 measured par...

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