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The plane XOZ divides the join of (1, -1...

The plane XOZ divides the join of `(1, -1, 5) and (2, 3, 4)`in the ratio of `lambda:1`, then `lambda` is

A

`-3`

B

`-(1)/(3)`

C

`3`

D

`(1)/(3)`

Text Solution

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The correct Answer is:
(d)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  3. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

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  5. Let a,b,c are three vectors of which every pair is non-collinear, if t...

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  6. Equations of the line which passe through the point with position vect...

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  8. A parallelopiped is formed by planes drawn through the points (1, 2, 3...

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  9. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

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  10. Find the shortest distance between the lines whose equations are : vec...

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  11. Consider the plane (x,y,z)= (0,1,1) + lamda(1,-1,1)+mu(2,-1,0) The dis...

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  12. The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and ...

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

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  14. Given planes P1:cy+bz=x P2:az+cx=y P3:bx+ay=z P1, P2 and P3 pass...

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  15. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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  16. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy=c^2, z...

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  17. The line which contains all points (x, y, z) which are of the form (x,...

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  18. If the position vectors of the points A,B and C be hati+hatj,hati-hatj...

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  19. Find the equation of plane passing through the line of intersection o...

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  20. A straight line is given by r=(1+t)i+3tj+(1-t)k, where tinR. If this l...

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