Home
Class 11
MATHS
If ax^2+2hxy+by^2+2gx+2fy+c=0 represents...

If `ax^2+2hxy+by^2+2gx+2fy+c=0` represents two parallel lines then prove that the distance between the parallel lines is `2sqrt((g^2-ac)/(a(a+b)))" or "2sqrt((f^2-bc)/(b(a+b)))`.

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS -II(B) MODEL PAPER -10

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-B|9 Videos
  • MATHEMATICS -I(B) MODEL PAPER -9

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C|7 Videos
  • MODEL PAPER - 7

    VGS PUBLICATION-BRILLIANT|Exercise Section - C (Long Answer Type Questions)|7 Videos

Similar Questions

Explore conceptually related problems

If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove that h^2=ab .

If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove that af^2=bg^2 .

If ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of parallel lines then sqrt([q^2-ac/f^2-bc])=

If ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of lines then prove that triangle=abc+2fgh-af^2-bg^2-ch^2=0 .