Home
Class 12
MATHS
Show that the pair of lines given by a^2...

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`.

Text Solution

Verified by Experts

The correct Answer is:
`rArr angle ROP =angle SOQ`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • PARABOLA

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

Similar Questions

Explore conceptually related problems

Find the condition that one of the lines given by ax^2+2hxy+by^2=0 may coincide with one of the lines given by a' x^2 +2h'xy+b'y^2=0

If the slope of the line given by a^2x^2+2hxy+b^2y^2=0 be three times of the other , then h is equal to

The image of the pair of lines represented by ax^(2)+2hxy+by^(2)=0 by the line mirror y=0 is

Prove that the lines 2x^2+6xy+y^2=0 are equally inclined to the lines 4x^2+18xy+y^2=0

The angle between the pair of lines : x^2+2xy-y^2=0 is :

Find dy/dx if ax^2+2hxy+by^2=0

If one of the lines given by 6x^2-xy+4cy^2=0 is 3x+4y=0 ,then value of |c| is

Find the slope of tangent to the curve if ax^2+2hxy+by^2=0

If the pair of lines ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0 intersect on the y-axis then

The equation of line which is parallel to the line common to the pair of lines given by 3x^2+xy-4y^2=0 and 6x^2+11xy+4y^2=0 and at a distance of 2 units from it is