Home
Class 12
MATHS
Show that the equation a(x^4+y^4)-4bxy(x...

Show that the equation `a(x^4+y^4)-4bxy(x^2-y^2)+6cx^2y^2=0` represents two pairs of lines at right angles and that `if 2b^2=a^2+3ac` , the two pairs will coincide.

Text Solution

Verified by Experts

The correct Answer is:
` therefore 2b^2=a^2+3ac`
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)|36 Videos

Similar Questions

Explore conceptually related problems

If ax^(2)-y^(2)+4x-y=0 represents a pair off lines then a=

Show that the equation 2x^(2) + xy - y^(2) + x + 4y - 3 = 0 represents a pair of lines.

If ax^2-y^2+4x-y=0 represents a pair of lines , then a is equal to

If the equation 2x^(2)+4xy-2y^(2)+4x+8y+k=0 represents a pair of line, then k=

If 2x^(2)+xy-3y^(2)+4x+ky-6=0 represents a pair of lines then k=

If the equation x^(4)+bx^(3)y+cx^(2)y^(2)+dxy^(3)+ey^(4)=0 represent two pairs of perpendicular lines, then

If the equation K(x^(2)+y^(2))=(3x-y)^(2) represents a pair of coincident lines, then k=

If the equation a^(2)x^(2)+bxy^(2)=a(b+c)xy represents a pair of coincident lines, then

If the equation 2x^(2)+kxy-3y^(2)-x-4y-1=0 represents a pair of lines then the value of ' 'k' can be: