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The equation of a line passing through t...

The equation of a line passing through the points (1,2,3) and (4,0,6) is -

A

`(x-1)/(4)=(y-2)/(0)=(z-3)/(6)`

B

`(x-4)/(1)=(y-0)/(2)=(z-6)/(3)`

C

`(x-1)/(-3)=(y-2)/(2)=(z-3)/(-3)`

D

`(x-4)/(3)=(y-0)/(-2)=(z-6)/(3)`

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. The direction ratios of the line parallel to the line (x-1)/(3)=(y-5)/...

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  2. The direction ratios of the line 3x-2=2y+1=2z-4 are proportional to -

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  3. The equation of a line passing through the points (1,2,3) and (4,0,6) ...

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  4. The equation of a line passing through the points (5,2,7) and paraleel...

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  5. State which of the following statement is true ?

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  6. If the points P (1,2,3), Q(4,5,6) and R(7,8,9) are collinear then Q di...

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  7. If the line (x-x(1))/(a)=(y-y(1))/(b)=(z-z(1))/(c) is parallel to z-ax...

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  8. The equation of a line passing through the points (1,2,3) and (4,5,6) ...

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  9. Write the cartesian and vector equation of x- axis.

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  10. The cartesian equation of a line is (2x-5)/(3)=(6-3y)/(2)=(z+1)/(6) . ...

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  11. Write the direction cosines of the line 6x-2=3y+1=2z-4.

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  12. Write the coordinate axis to which the line (x-5)/(2)=(y+6)/(0)=(z-3)/...

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  13. Write the vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2).

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  14. Find the equation in vector form of a line which is parallel to the ve...

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  15. Find the vector and cartesian equations of the line through the point ...

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  16. The cartesian equation of a line is (x+3)/(2)=(y-5)/(4)=(z+6)/(2). the...

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  17. The cartesian equation of a line is 3x+2=5y-4=3-z. Find a point on t...

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  18. The cartesian equations of a line are 3x+1=6y-2=1-z. Find the fxed poi...

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  19. Find the equation of the line which passes through (1,2,-4) and (4,-5,...

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  20. The equation of a line is given by x=by+c, z=ay+d, write it in cartes...

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