If the line (x-x(1))/(a)=(y-y(1))/(b)=(z...

If the line `(x-x_(1))/(a)=(y-y_(1))/(b)=(z-z_(1))/(c)` is parallel to z-axis then-

A

`a=c=0" and "bne0`

B

`a=b=0" and "cne0`

C

`b=c=0" and "ane0`

D

`a=b=c=0`

Text Solution

Verified by Experts

The correct Answer is:

B

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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A

State which of the following statement is true ?
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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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If the line (x-x(1))/(a)=(y-y(1))/(b)=(z-z(1))/(c) is parallel to z-ax...
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The equation of a line passing through the points (1,2,3) and (4,5,6) ...
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Write the cartesian and vector equation of x- axis.
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Write the direction cosines of the line 6x-2=3y+1=2z-4.
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Write the coordinate axis to which the line (x-5)/(2)=(y+6)/(0)=(z-3)/...
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Write the vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2).
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Find the equation in vector form of a line which is parallel to the ve...
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Find the vector and cartesian equations of the line through the point ...
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The cartesian equations of a line are 3x+1=6y-2=1-z. Find the fxed poi...
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Find the equation of the line which passes through (1,2,-4) and (4,-5,...
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The equation of a line is given by x=by+c, z=ay+d, write it in cartes...
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Let the position vectors of the points P, Q and R are respectively giv...
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Show that the poins whose position vectors are 4hat(i)+5hat(k),hat(i)+...
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Find the points on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distanc...
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Show that the line joining the points P and Q with position vectors ve...
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