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Find the Vector and Cartesian equation of line passing through (1, -2, 3) and parallel to the planes `x - y + 2z = 5 and 3 x + 2y - z = 6`

A

`(x-1)/(-1)=(y+2)/1=(z-3)/(-1)`

B

`(x-1)/2=(y+2)/3=(z-3)/1`

C

`(x+1)/(-1)=(y-2)/1=(z-3)/(-1)`

D

none of these

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OBJECTIVE RD SHARMA ENGLISH-PLANE AND STRAIGHT LINE IN SPACE -Chapter Test
  1. The distance of the point having position vector -hat(i) + 2hat(j) + 6...

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  2. The position vector of the point in which the line joining the points ...

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  3. The two lines vecr=veca+veclamda(vecbxxvecc) and vecr=vecb+mu(veccxxve...

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  4. Lines vecr = veca(1) + lambda vecb and vecr = veca(2) + svecb will lie...

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  5. Equation of a line passing through (-1,2,-3) and perpendicular to the ...

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  6. Find the Vector and Cartesian equation of line passing through (1, -2,...

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  7. The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0...

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  8. Find shortest distance between the line vecr = (5hati + 7hatj + 3ha...

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  9. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

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  10. Find the equation of the plane through the points (2,2,1) and (9,3,6) ...

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  11. The equation of the plane containing the line vecr = hati + hatj + lam...

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  12. Find ten equation of the plane passing through the point (0,7,-7) and ...

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  13. Equation of the plane passing through the point (1,1,1) and perpendicu...

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  14. A variable plane at constant distance p form the origin meets the coor...

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  15. The equation of the line of intersection of the planes x+2y+z=3 and 6x...

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  16. Find the Cartesian form the equation of the plane vec r=(s-2t) hat i...

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  17. If the planes vecr.(2hati-lamda hatj+3hatk)=0 and vecr.(lamda hati+5ha...

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  18. The equation of the plane perpendicular to the line (x-1)/1=(y-2)/(-1)...

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  19. Find the equation of a plane which passes through the point (3, 2, ...

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  20. Determine the point in XY-plane which is equidistant from thee poin...

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