If `b^2 -aclt0 and alt 0`, then thevalue of the determinant `|(a,b,ax+by),(b,c,bx+cy),(ax + by,bx + cy,0)|` is

If a,b,c are in G.P. then find the value of |{:(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0):}| .

If a gt 0 and discriminant of ax^(2)+2bx+c=0 is negative, then the value of - |(a,b,ax+b),(b, c,bx+c),(ax+b,bx+c,0)| is -

The non-zero roots of the equation Delta =|(a,b,ax+b),(b,c,bx+c),(ax+b,bx+c,c)|=0 are

The non-zero roots of the equation Delta=|(a,b,ax+b),(b,c,bx+c),(ax+b,bx+c,c)|=0 are

If a gt 0 and discriminant of ax^(2) + 2bx + c is negative, then Delta = |(a,b,ax +b),(b,c,bx +c),(ax +b,bx +c,0)| , is

If a gt 0 and discriminant of ax^2+2bx+c is negative, then : Delta=|(a,b,ax+b),(b,c,bx+c),(ax+b,bx+c,0)| is :

Find the non-zero roots of the equation. (i) Delta=|{:(,a,b,ax+b),(,b,c,bx+c),(,ax+b,bx+c,c):}|=0

Prove that: |(a,b, ax+by),(b,c,bx+cy), (ax+by, bx+cy,0)|=(b^2-a c)(a x^2+2b x y+c y^2) .