Home
Class 12
MATHS
Prove that the equation m (x^3-3xy^2)+y^...

Prove that the equation m `(x^3-3xy^2)+y^3-3x^2y=0` represents three straight lines equally inclined to each other.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|4 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

The equation x^(2)+4xy+4y^(2)-3x-6y-4=0 represents a

The equation x^(3)+x^(2)y-xy^(2)=y^(3) represents

The equation x^(3)+x^(2)y-xy^(2)-y^(3)=0 represents three straight lines passing through the origin such that

Prove that the equartion 3y^(2)-8xy-3x^(2)-29x+3y-18=0 represents two straight lines. Find also their point of intersection and the angle between them.

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

The equation x^(3)-6x^(2)y+11xy^(2)-6y^(3)=0 represents three straight lines passing through the origin, the slopes of which form an

If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straight lines, then the value of k, is

The equation x^3+x^2y-x y^2 =y^3 represents (a)three real straight lines (b)lines in which two of them are perpendicular to each other (c)lines in which two of them are coincident (d)none of these

The equation x^(2) + 4xy + 4y ^(2) - 3x - 6 = 0 represents

The equation x^3+x^2y-x y=y^3 represents three real straight lines lines in which two of them are perpendicular to each other lines in which two of them are coincident none of these