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The straight lines (x)/(a(1))=(y)/(b(1))...

The straight lines `(x)/(a_(1))=(y)/(b_(1))=(z)/(c_(1))` and `(x-2)/(a_(2))=(y-3)/(b_(2))=(z)/(c_(2))` will be parallel if -

A

`a_(1)a_(2)+b_(1)b_(2)+c_(1)c_(2)=0`

B

`a_(1)a_(2)+b_(1)b_(2)+c_(1)c_(2)=1`

C

`(a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(2))`

D

`(a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(2))`

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. The angle between the straight lines x=5,y=4t+5,z=4t+3 and (x-5)/(5)=(...

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  2. The straight lines (x-x(1))/(l(1))=(y-y(1))/(m(1))=(z-z(1))/(n(1))" an...

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  3. The straight lines (x)/(a(1))=(y)/(b(1))=(z)/(c(1)) and (x-2)/(a(2))=(...

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  4. State which of the following statement is true ?

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

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

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

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  8. Find the angle between the lines (x-5)/(7)=(y+2)/(-5)=(z-9)/(1) and (x...

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  9. Find the angle between the lines (x-7)/(2)=(y-6)/(3)=(z+2)/(-4) and (2...

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

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

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  12. Find the angle between the following pair of lines vec(r)=(3hat(i)+...

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

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

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

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  16. Find the angle between the pair of lines with direction ratios given ...

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  17. Find the angle between the pair of lines with direction ratios given ...

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  18. Find the angle between the pair of lines with direction ratios given ...

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  19. Find the angle between the pair of lines with direction ratios given ...

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  20. Find the equation of the line passing through the point (1,2,3), which...

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