Home
Class 12
MATHS
Show that the straight lines whose direc...

Show that the straight lines whose direction cosines are given by the equations `a l+b m+c n=0` and `u l^2+z m^2=v n^2+w n^2=0` are parallel or perpendicular as `(a^2)/u+(b^2)/v+(c^2)/w=0ora^2(v+w)+b^2(w+u)+c^2(u+v)=0.`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos
  • THEORY OF EQUATIONS

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

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

Similar Questions

Explore conceptually related problems

Show that the straight lines whose direction cosines are given by the equations a l+b m+c n=0 and u l^2+vm^2+wn^2=0 are parallel or perpendicular as (a^2)/u+(b^2)/v+(c^2)/w=0ora^2(v+w)+b^2(w+u)+c^2(u+v)=0.

Show that the straight lines whose direction cosines are given by the equations al+bm+cn=0 and u l^2+v m^2+w n^2=0 are parallel or perpendicular as a^2/u+b^2/v+c^2/w=0 or a^2(v +w)+b^2(w+u)+c^2(u+v)=0

The angle between the lines whose direction cosines are given by the equatios l^2+m^2-n^2=0, m+n+l=0 is

Find the angle between the lines whose direction cosine are given by the equation: "l"-"m"+"n"=0" and l"^2-"m"^2-"n"^2=0

Find the angle between the lines whose direction cosine are given by the equation: "l"+"m"+"n"=0" and "l^2"+"m^2"-"n^2"=0

Find the acute angle between the two straight lines whose direction cosines are given by l+m+n=0 and l^2+m^2-n^2=0

Find the acute angle between the two straight lines whose direction cosines are given by l+m+n=0 and l^2+m^2-n^2=0

Find the angle between the lines whose direction cosine are given by the equation: 2"l"+2"m"-"n"=0, and "m n"+"ln"+"lm"=0

The pair of lines whose direction cosines are given by the equations 3l+m+5n=0a n d6m n-2n l+5l m=0 are a. parallel b. perpendicular c. inclined at cos^(-1)(1/6) d. none of these

Prove that the straight lines whose direction cosines are given by the relations a l+b m+c n=0a n dfm n+gn l+hl m=0 are perpendicular, if f/a+g/b+h/c=0 and parallel, if a^2f^2+b^2g^2+c^2h^2-2a bfg-2b cgh-2a c hf=0.