Home
Class 11
MATHS
Show that the equations 2x^(2)-xy-3y^(2)...

Show that the equations `2x^(2)-xy-3y^(2)-6x+19y-20=0` represents a pair of intersecting lines. Show further that the angle between them is `tan^(-1)(5)`.

Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise EXERCISE - 6.5|25 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise EXERCISE - 6.3|19 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.12|20 Videos

  • VECTOR ALGEBRA-I

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|26 Videos

Similar Questions

Explore conceptually related problems

Show that the equation 2x^2-xy-3y^2-6x+19y-20=0 represents a pair of intersecting lines. Show further that the angle between them is tan^(-1) (5) .

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

Show that the equation 4x^(2)+4xy+y^(2)-6x-3y-4=0 represents a pair of parallel lines. Find the distance between them.

Show that the equation 9x^(2)-24xy+16y^(2)-12x+16y-12=0 represents a pair of parallel lines. Find the distance between them.

If the equation kx^(2) – 2xy - y^(2)– 2x + 2y = 0 represents a pair of lines, then k =

If the equation 2x^(2) + 7xy+3y^(2) - 9x - 7y+k=0 represents a pair of lines, then kis equal to

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

Show that 4x^(2)+4xy+y^(2)-6x-3y-4=0 represents a pair of parallel lines.