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The straight lines (x-x(1))/(l(1))=(y-y(...

The straight lines `(x-x_(1))/(l_(1))=(y-y_(1))/(m_(1))=(z-z_(1))/(n_(1))" and "(x)/(l_(2))=(y)/(m_(2))=(z)/(n_(2))` will be perpendicular, if -

A

`l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2)=1`

B

`l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2)=0`

C

`(l_(1))/(l_(2))=(m_(1))/(m_(2))=(n_(1))/(n_(2))`

D

`(l_(1))/(l_(2))=(m_(1))/(m_(2))=-(n_(1))/(m_(2))`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
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  4. The straight lines (x)/(a(1))=(y)/(b(1))=(z)/(c(1)) and (x-2)/(a(2))=(...

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  5. State which of the following statement is true ?

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  6. The angles between the lines (x-5)/(2)=(y-3)/(2)=(z)/(0) and x=5,y=8,z...

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  7. The angle between the lines(x-5)/(1)=(y-1)/(0)=(z-9)/(0) and 2x-1=5-2y...

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  8. The lines (x)/(1)=(y)/(2)=(z)/(3) and (x-1)/(-2)=(y-2)/(-4)=(3-z)/(6) ...

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  11. The cartesian equation of a line AB is (3-x)/(1)=(y+2)/(-2)=(z-5)/(4)....

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  12. Find the equation of a line passing through the point (1,2,3) and para...

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  14. Find the angle between the following pair of lines vec(r)=(2hat(i)+...

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  15. Find the angle between the following pair of lines (x+4)/(3)=(y-1)/...

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  16. Find the angle between the following pair of lines (x-7)/(2)=(y+5)/...

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