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 `af^2=bg^2`.

Text Solution

Verified by Experts

The correct Answer is:
`bg^2`
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 12

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B ( Short Answer type questions)|7 Videos

  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (Long Answer type questions)|7 Videos

  • MODEL PAPER 2

    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 the distance between the parallel lines is 2sqrt((g^2-ac)/(a(a+b)))" or "2sqrt((f^2-bc)/(b(a+b))) .

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 .

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