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The equation of the plane perpendicular ...

The equation of the plane perpendicular to the line `(x-1)/(1), (y-2)/(-1), (z+1)/(2)` and passing through the point `(2, 3, 1)`. Is

A

`rcdot(hat(i)+hat(j)+2hat(k))=1`

B

`rcdot(hat(i)-hat(j)+2hat(k))=1`

C

`rcdot(hat(i)-hat(j)+2hat(k))=7`

D

None of these

Text Solution

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The correct Answer is:
(b)
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ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  4. The locus of a point which moves so that the difference of the squares...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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