Home
Class 12
MATHS
If two of the three lines represented by...

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

Text Solution

Verified by Experts

The correct Answer is:
Hence , `a^2+ac+bd+d^2=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

Statement I. Two of the straight lines represented by dx^3+cx^2y+bxy^2+ay^3=0 will be at right angles if d^2+bd+bc +a^2 =0 Statement II. Product of the slopes of two perpendicular line is -1

If two of the lines represented by ax^4 +bx^3y +cx^2 y^2+dxy^3+ay^4=0 bisects the angle between the other two, then

Two of the straight lines given by 3x^3 +3x^2y-3xy^2+dy^3=0 are at right angles , if d equal to

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

Show that if two of the lines ax^3+bx^2y+cxy^2+dy^3=0 (a ne 0) make complementary angles with X -axis in anti -clockwise sense, then a(a-c)+d(b-d)=0 .

Prove that The lines joining the origin to the points of intersection of the line 3x-2y =1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are are at right angles.

If the lines joining the origin to the intersection of the line y=nx+2 and the curve x^2+y^2=1 are at right angles, then the value of n^2 is

If the angle between the two lines represented by 2x^2+5xy+3y^2+2y+4=0 is tan ^(-1) (m) , then m is equal to

The lines represented by x^(2)+2lambda xy+2y^(2)=0 and the lines represented by (1+lambda)x^(2)-8xy+y^(2)=0 are equally inclined, then

The lines joining the origin to the point of intersection of x^2+y^2+2gx+c=0 and x^2+y^2+2fy-c=0 are at right angles if