Home
Class 12
MATHS
The equation of the straight line throug...

The equation of the straight line through the origin and parallel to the line `(b+c)x+(c+a)y+(a+b)z=k=(b-c)x+(c-a)y+(a-b)z` are

A

`(x)/(b^2-c^2)=(y)/(c^2-a^2)=(z)/(a^2-b^2)`

B

`(x)/(b)=(y)/(b)=(z)/(a)`

C

`(x)/(a^2-bc)=(y)/(b^2-ca)=(z)/(c^2-ab)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line through the point P(a,b) parallel to the line x/a+y/b = 1 also find the intercepts made by it on the axes .

Find the equations of the straight lines which pass through the origin and trisect the portion of the st. line x/a+y/b=1 , which is intercepted between the axis.

Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6.

Prove that the line through the point (x_1,y_1) and parallel to the line Ax + By + C = 0 is A (x- x_1) + B (y -y_1) = 0.

Prove that the line through the point (x_(1),y_(1)) and parallel to the line Ax+By+C=0 is A(x-x_(1)) +B(y-y_(1))=0 .

Find the equation of the through to the line of intersection of the planes 3x-4y+5z=10 and 2x+2y-3z=4 and parallel to the lines x=2y=3z .

The equation of line is (2x-5)/4=(y+4)/3=(6-z)/6 then the d.c.'s ofline parallel of this line are :

Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and parallel to the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 be x+Ay+Bz+C=0 . Then the values of |A+B+C-4| is …..

The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a , b) (b) (b ,a) (-a ,-b) (d) none of these

Find the equations of the line intersecting the lines (x-a)/1=(y)/1=(z-a)/1 and (x-a)/2=y/1=(z+a)/2 and parallel to the line (x-a)/2=(y-a)/1=(z-2a)/2 .