Home
Class 12
MATHS
Consider the lines L(1) : x/3 +y/4 = 1 ,...

Consider the lines `L_(1) : x/3 +y/4 = 1 , L_(2) : x/4 +y/3 =1, L_(3) : x/3 +y/4 = 2 and L_(4) : x/4 + y/3 = 2` .Find the relation between these lines.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|16 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Example|3 Videos
  • SETS, RELATIONS AND FUNCTIONS

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

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

Consider three planes P_(1):x-y+z=1 , P_(2):x+y-z=-1 and P_(3):x-3y+3z=2 . Let L_(1),L_(2),L_(3) be the lines of intersection of the planes P_(2) and P_(3),P_(3) and P_(1),P_(1) and P_(2) respectively. Statement I Atleast two of the lines L_(1),L_(2) and L_(3) are non-parallel. Statement II The three planes do not have a common point.

Consider the following lines : L_(1) : x-y-1=0 L_(2):x+y-5=0 L_(3):y-4=0 Let L_(1) is axis to a parabola, L_(2) is tangent at the vertex to this parabola and L_(3) is another tangent to this parabola at some point P. Let 'C' be the circle circumscribing the triangle formed by tangent and normal at point P and axis of parabola. The tangent and normals at normals at the extremities of latus rectum of this parabola forms a quadrilateral ABCD. Q. The equation of the circle 'C' is :

Consider the lines given by L_(1):x+3y-5=0 L_(2):3x-ky-1=0 L_(3):5x+2y-12=0 Match the following lists.

Consider the line L 1 : x +1/3 = y+ 2/1= z +1/2 L2 : x-2/1= y+2/2= z-3/3 The unit vector perpendicular to both L 1 and L 2 lines is

Consider the line L_(1) : (x-1)/(2)=(y)/(-1)=(z+3)/(1), L_(2) : (x-4)/(1)=(y+3)/(1)=(z+3)/(2) find the angle between them.

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The shortest distance between L_(1) and L_(2) is

The lines L_(1) : y - x = 0 and L_(2) : 2x + y = 0 intersect the line L_(3) : y + 2 = 0 at P and Q respectively . The bisectors of the acute angle between L_(1) and L_(2) intersect L_(3) at R . Statement 1 : The ratio PR : RQ equals 2sqrt2 : sqrt5 Statement - 2 : In any triangle , bisector of an angle divides the triangle into two similar triangles .

Find the point of intersection of the line, x/3 - y/4 = 0 and x/2 + y/3 = 1