If the lines represented by `ax^(2)+4xy+4y^(2)=0` are real distinct, then

Lines represented by 4x^(2)+4xy+y^(2)=0 are

Assertion (A) : The slopes of one line represented by 2x^(2)–5xy+2y^(2) = 0 is 4 times the slope of the second line. Reason (R): If the slopes of lines represented by ax^(2)+2hxy+by^(2)=0 are in m:n then ((m+n)^(2))/(mn)=(4h^(2))/(ab)

Statement -1 : If a gt b gt c , then the lines represented by (a-b)x^(2)+(b-c)xy+(c-a)y^(2)=0 are real and distinct. Statement-2 : Pair of lines represented by ax^(2)+2hxy+by^(2)=0 are real and distinct if h^(2) gt ab .

Statement -1 : If a gt b gt c , then the lines represented by (a-b)x^(2)+(b-c)xy+(c-a)y^(2)=0 are real and distinct. Statement-2 : Pair of lines represented by ax^(2)+2hxy+by^(2)=0 are real and distinct if h^(2) gt ab .

The equation of the lines represented by 3x^(2)-7xy+4y^(2)=0 are

The acute angle theta between the lines represented by x^(2)-4xy+y^(2)=0 is

The value of a for which the lines represented by ax^(2)+5xy +2y^(2) = 0 are mutually perpendicular is

Find the value of a for which the lines represented by ax^(2)+5xy+2y^(2)=0 are mutually perpendicular.

If the lines represented by ax^(2)+4xy+y^(2)+8x+2fy+c=0 interseet on Y -axis,then (f,c)=