Home
Class 11
MATHS
If the equation x^(3)+ax^(2)y+bxy^(2)+y^...

If the equation `x^(3)+ax^(2)y+bxy^(2)+y^(3)=0` represents three lines two of which are perpendicular then equation of third line is

A

`y=ax`

B

`y=bx`

C

`y=x`

D

`y= -x`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the equation ax^3+3bx^2y+3cxy^2+dy^3=0 (a,b,c,d ne 0) represents three coincident lines then

Show that the equation x^(2)-y^(2)-x+3y-2=0 represents a pair of perpendicular lines and find their equations.

The equation ax^(2)+3xy-2y^(2)-5x+5y+c=0 represents two lines perpendecular to each other. Find 'a' and c.

The equation ax^(2) + 3xy - 2y^(2) - 5x +5y+c= 0 represents two lines perpendecular to each other. Find 'a' and 'c'

If the equation x^(2)+py^(2)+y=a^(2) represents a pair of perpendicular lines then its point of intersection is

Prove that the equation 2x^(2)+3xy-2y^(2)-x+3y-1=0 represents a pair of perpendicular straight lines.

Prove that the equation 2x^(2)+3xy-2y^(2)+3x+y+1=0 represents a pair of perpendicular lines and find the lines.

Find k, if the equation 2x^(2) + kxy - 6y^(2) + 3x + y + 1 = 0 represents a pair of lines. Find the point of intersection of the lines and angle between the lines for this value of k.