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The equation of the plane through the li...

The equation of the plane through the line of intersection of the planes `ax+by+cz+d=0anddx+b'y+c'z+d'=0` and parallel to the line `y=0andz=0` is

A

`(ab'-a'b)x+(bc'-b'c)y+(ad'-a'd)=0`

B

`(ab'-a'b)x+(bc'-c'c)h+(ad'-a'd)z=0`

C

`(ab'-a'b)y+(ac'-a'c)z+(ad'-a'd)=0`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PLANE AND STRAIGHT LINE IN SPACE -Chapter Test
  1. The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joi...

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  2. The image (or reflection) of the point (1,2-1) in the plane vecr.(3hat...

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  3. The equation of the plane through the line of intersection of the plan...

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  4. Angle between the line vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk) a...

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  5. The line through hati+3hatj+2hatkandbot"to the line "vecr=(hati+2hatj-...

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  6. The distance of the point having position vector -hat(i) + 2hat(j) + 6...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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