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 one of the lines given by the equation ax^2+2hxy+by^2=0 coincides with one of the lines given by a'x^2+2h'xy+b'y^2=0 and the other lines representted by them be perpendicular , then . (ha'b')/(b'-a')=(h'ab)/(b-a)=1/2sqrt(-a a' b b')

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 lines given by ax^(2)+2hxy+by^(2)=0 are equally inclined to the lines given by ax^(2)+2hxy+by^(2)+lambda(x^(2)+y^(2))=0 , then

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

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

if h^2=ab , then the lines represented by ax^2+2hxy+by^2=0 are

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

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

Find the area of the triangle formed by the lines represented by ax^2+2hxy+by^2+2gx+2fy+c=0 and axis of x .

If two of the three lines represented by ax^3+ bx^2y +cxy^2+dy^3=0 may be at right angles then