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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 (4,5,6) is given by -

A

`(x-1)/(1-4)=(y-2)/(2-5)=(z-3)/(3-6)`

B

`(x-1)/(4-1)=(y-2)/(5-2)=(z-3)/(4-2)`

C

`(x-4)/(4-1)=(y-5)/(5-2)=(z-6)/(5-3)`

D

`(x-4)/(4-1)=(y-5)/(2-5)=(z-6)/(3-6)`

Text Solution

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The correct Answer is:
A
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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. 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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  2. If the line (x-x(1))/(a)=(y-y(1))/(b)=(z-z(1))/(c) is parallel to z-ax...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Let the position vectors of the points P, Q and R are respectively giv...

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  17. Show that the poins whose position vectors are 4hat(i)+5hat(k),hat(i)+...

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  18. Find the points on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distanc...

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  19. Show that the line joining the points P and Q with position vectors ve...

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  20. (i) Find the vector equation of a line passing through a point with po...

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