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Two system of rectangular axes have the ...

Two system of rectangular axes have the same origin. If a plane cuts them at distance `a, b, c and a', b', c'` from the origin, then:

A

`(1)/(a^2)+(1)/(b^2)+(1)/(c^2)+(1)/(a'^2)+(1)/(b'^2)+(1)/(c'^2)=0`

B

`(1)/(a^2)-(1)/(b^2)-(1)/(c^2)-(1)/(a'^2)-(1)/(b'^2)-(1)/(c'^2)=0`

C

`(1)/(a^2)+(1)/(b^2)+(1)/(c^2)-(1)/(a'^2)-(1)/(b'^2)-(1)/(c'^2)=0`

D

`(1)/(a^2)-(1)/(b^2)+(1)/(c^2)-(1)/(a'^2)+(1)/(b'^2)-(1)/(c'^2)=0`

Text Solution

Verified by Experts

The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  4. ABC is an isosceles triangle right angled at A. forces of magnitude 2s...

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

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  6. Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+l...

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  7. Find the shortest distance between the lines given by the equations ve...

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  8. Find the angle between the line r=hat(i)+2hat(j)-hat(k)+lambda(hat(i)-...

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  15. Find the value of x Equation is x+7=6

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

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

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