Home
Class 11
MATHS
A parallelogram is formed by the lines a...

A parallelogram is formed by the lines `ax^2 + 2xy + by^2 = 0` and the lines through `(x_1, y_1)` parallel to them. Show that the area of parallelogram is `(|ax_1^2+2hx_1y_1+by_1^2|)/(2sqrt(h^2-ab))`

Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -I|50 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -II|105 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE - 4.3 ( LONG ANSWER QUESTIONS)|10 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

Area of the triangle formed by the lines x^(2)-3xy+y^(2)=0 and x+y+1=0

The area of the triangle formed by the lines x^(2)-9xy+18y^(2)=0 and the line y-1=0 is (in sq units)

Show that the line through (4,7,8), (2,3,4) is parallel to the line through the points (-1-2,1) and (1,2,5).

Show that the area bounded by the lines x = 0, y = 1, y = 2 and the hyperbola xy = 1 is log 2.

If ax ^(2) + 2hxy + by ^(2) =1 then (hx + by) ^(3) y _(2) =

The equation of the pair of lines passing through (1,-1) and parallel to the pair of lines x^(2)-y^(2)=0 is

If a + b = 2h , then the area of the triangle formed by the lines ax^(2) + 2hxy + by^(2) = 0 and the line x-y+2=0, in sq. units, is

A line parallel to the line x+2y+1=0 is…………

If the pair of straight lines xy - x - y + 1 = 0 and the line ax+2y-3 = 0 are concurrent then a=