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Find the equation of the plane containing the lines `(x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot`

A

17x-47y-24z+172=0

B

17x+47y-24z+172=0

C

17x+47y+24z+172=0

D

17x-47y+24z+172=0

Text Solution

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The correct Answer is:
A
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Find the equation of the plane containing the lines (x-5)/(4)=(y-7)/(4)=(z+3)/(-5) and (x-8)/(7)=(y-4)/(1)=(z-5)/(3)

Find the equation of plane containing the lines (x-5)/(4)=(y+7)/(4)=(z+3)/(-5) and (x-8)/(7)=(y-4)/(1)=(z-5)/(3) .

Show that the lines (x-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-5)/3 intersect each other

Find the equation of the plane which contains two parallel to lines (x-4)/1=(y-3)/(-4)=(z-2)/5\ a n d\ (x-3)/1=(y+2)/(-4)=z/5dot

Find the equation of the plane which contains two parallel lines given by (x-3)/1=(y+2)/-4=z/5 and (x-4)/1=(y-3)/-4=(z-2)/5

Find the equation of the plane passing through the line (x-1)/(5)=(y+2)/(6)=(z-3)/(4) and point (4,3,7)

The shortest distance between the lines (x-5)/4 = (y-7)/-5 = (z+3)/-5 and (x-8)/7 = (y-7)/1 = (z-5)/3 is

The perpendicular distance from the origin to the plane containing the two lines,(x+2)/(3)=(y-2)/(5)=(z+5)/(7) and (x-1)/(1)=(y-4)/(4)=(z+4)/(7) is: (a) 11sqrt(6)(b)(11)/(sqrt(6))(c)11(d)6sqrt(11)

Equation of the plane containing the straight line (x)/(2)=(y)/(3)=(z)/(4) and perpendicular to the plane containing the straight lines (x)/(2)=(y)/(4)=(z)/(2) and (x)/(4)=(y)/(2)=(z)/(3) is

TARGET PUBLICATION-PLANE-CRITICAL THINKING
  1. Find the vector equation of the plane in which the lines vecr=hati+ha...

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  2. The equation of the plane containing lines (x)/(1)=(y-2)/(2)=(z+3)/(3)...

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  3. Find the equation of the plane containing the lines (x-5)/4=(y-7)/4...

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  4. The plane containing lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7)" and "(x-2)/...

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  5. If lines (x+l)/(3)=(y+3)/(5)=(z+5)/(7) and (x-2)/(1)=(y-4)/(3)=(z-6)/(...

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  6. If the lines (x-2)/(1)=(y-4)/(4)=(z-6)/(k) and (x+1)/(3)=(y+3)/(5)=(z...

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  7. The lines (x-3)/(1)=(y-1)/(2)=(z-3)/(-lambda) and (x-1)/(lambda)=(y-2)...

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  8. Lines (x)/(1)=(y-2)/(2)=(z+3)/(3)" and "(x-2)/(2)=(y-6)/(3)=(z-3)/(4) ...

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

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

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

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

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

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

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

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

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

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

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

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

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