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If the distance between the planes 8x+12...

If the distance between the planes `8x+12y-14z=2 and 4x+6y-7z=2` can be expressed in the form `(1)/(sqrt(N))`, where N is natural, then the value of `(N(N+1))/(2)` is

A

`4950`

B

`5050`

C

`5150`

D

`5151`

Text Solution

Verified by Experts

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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  2. Find the equation of the plane with intercept 3 on the y-axis and para...

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  10. Which of the following pairs of linear equations are consistent ? Obta...

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

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

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

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

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

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

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

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

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

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