Home
Class 12
MATHS
Show that the angle between the lines gi...

Show that the angle between the lines given by `(a+2hm+bm^2)x^2+2 {(b-a)m-(m^2-1)h} xy+(am^2-2hm+b)y^2=0` is the same whatever be the value of m ,.

Text Solution

Verified by Experts

The correct Answer is:
Which is independent of m, Hence the angle between the lines representing by Eq. (i) is same for all values of m .
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|10 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos

Similar Questions

Explore conceptually related problems

Show that the tangent of an angle between the lines x/a+y/b=1 and x/a-y/b=1\ i s(2a b)/(a^2-b^2)

The angle between the straight lines given by the joint equation x^2+4xy+y^2+2x+4y+1 =0

If the line y = mx bisects the angle between the lines ax^2 + 2h xy + by^2 = 0 then m is a root of the quadratic equation

Find the angle between the line whose direction cosines are given by l+m+n=0a n dl^2+m^2-n^2-0.

Show that the pair of lines given by a^2x^2+2h(a+b)xy+b^2y^2=0 is equally inclined to the pair given by ax^2+2hxy+by=0 .

If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y+4=0 is tan^(-1)(m), then find the value of m .

Show that the tangent of an angle between the lines (x)/(a)+(y)/(b)=1 and (x)/(a)-(y)/(b)=1 and (2ab)/(a^(2)-b^(2)) .

The angle between the lines ay^2-(1+lambda^2)xy-ax^2=0 is same as the angle between the line:

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

If the angle between the straight lines represented by 2x^(2)+5xy+3y^(2)+7y+4=0 is tan^(-1)m , then [(1)/(pi m)] is (where [.] denote greatest integer function) (a) 0 (b) 1 (c) 2 (d) 3