Home
Class 12
MATHS
ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represent...

`ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` represents two parallel straight lines if

A

`abc+2fgh-af^(2)-bg^(2)-ch^(2)=0`

B

`h^(2)=ab, af^(2)=bg^(2)`

C

`a+b=0`

D

`h^(2)+ab=0, af^(2)+bg^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 5

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

  • MODEL TEST PAPER 9

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

ax^(2) + 2hxy + by^(2) + 2 gx + 2fy + c=0 represents two parallel straight lines if

If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel lines then

The eqaution x^(2)+(lambda+mu)xy+lambdamuy^(2)+x+muy =0 represent two parallel straight lines if

If a x^(2)+2 h x y+b y^(2)+2 g x+2 f y+c=0 represents a parallel lines, then

If the equation a x^(2)+5 x y-6 y^(2)-10 x+11 y+c=0 , represents two perpendicular lines then c=

The values of p and q for which the equation 4 x^(2)+2 p x y+25 y^(2)+2 x+5 y+q=0 represents a pair of parallel lines is

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

The equation ax + by + c =0 represents a straight line