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The position vectors of points a and b a...

The position vectors of points a and b are `hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k)` respectively. The equation of plane is `rcdot(5hat(i)+2hat(j)-7hat(k))+9=0`. The points a and b

A

(a) lie on the plane

B

(b) are on the same side of the plane

C

(c) are on the opposite side of the plane

D

(d) None of these

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The correct Answer is:
(c)
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ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(...

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  2. The locus of a point which moves so that the difference of the squares...

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  3. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

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  4. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

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  5. Let vector be the 2hat(i)+hat(j)-hat(k) then find the unit vector in ...

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  6. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is...

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  7. Find the value of m for which the straight line 3x-2y+z+3=0=4x-3y+4z+1...

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

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  9. The number of planes that are equidistant from four non-coplanar point...

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  10. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

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  11. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  12. If lines x=y=zandx=(y)/(2)=(z)/(3) and third line passing through (1,1...

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  13. Find the point of intersection of line passing through (0,0,1) and ...

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  14. Two system of rectangular axes have the same origin. If a plane cuts t...

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  15. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

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  16. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

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  17. Let r=a+lambdal and r=b+mum br be two lines in space, where a= 5hat(i)...

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  18. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

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  19. The vector equations of two lines L1 and L2 are respectively vec r=1...

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  20. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

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