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State which of the following statement i...

State which of the following statement is true ?

A

The line joining the points (1,2,3) and (1,5,3) makes angle `(pi)/(2)` with the positive y-axis.

B

The line joining the points (1,-1,0) and (2,-1,0) is parallel with the positive x-axis.

C

The angle between the lines `(x-5)/(7)=(y+2)/(-5)=(z-2)/(1)` and `(x-1)/(1)=(y)/(2)=(z-1)/(3)` is `(pi)/(3)`

D

The anlge between the lines `2x=3y=-z` and `6x=-y=-4z` is `(pi)/(4)`.

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

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

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  3. State which of the following statement is true ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Find the equation of the line which passes through the point with posi...

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