If both the roots of `ax^2+bx+c=0` are positive then 1) `Delta >0, ab>0, ac>0` 2)`Delta<0, ab<0, ac<0` 3)`Delta>0, ab<0, ac>0` 4) `Delta>0, ab>0, bc>0`

If fig shows the graph of f(x)=ax^(2)+bx+c, then Fig ac 0 c.ab>0 d.abc<0

If the line ax + by + c =0 is a normal to the curve xy+1=0 ,then 1) ab 2) ab=0 3) ab>0 d) ab=-3

If alpha , beta are the roots of ax^(2) +bx+c=0, ( a ne 0) and alpha + delta , beta + delta are the roots of Ax^(2) +Bx+C=0,(A ne 0) for some constant delta , then prove that (b^(2)-4ac)/(a^(2))=(B^(2)-4AC)/(A^(2)) .

If alpha, beta are the roots of ax^(2)+2bx+c=0 and alpha +delta, beta + delta are those of Ax^(2)+2Bx+C=0 , then prove that (b^(2)-ac)/(B^(2)-AC)= ((a)/(A))^(2)

If a,b,c are real numbers and Delta >0 then the roots of ax^(2)+bx+c=0 are

If the roots of the equation ax^2+bx+c=0 are alpha , beta and the roots of the equation Ax^2+Bx+C=0 are (alpha+delta) and (beta+delta) then show that (b^2-4ac)/a^2=(B^2-4AC)/A^2

Suppose alpha, beta are roots of ax^(2)+bx+c=0 and gamma, delta are roots of Ax^(2)+Bx+C=0 . If a,b,c are in GP as well as alpha,beta, gamma, delta are in GP, then A,B,C are in

Suppose alpha, beta are roots of ax^(2)+bx+c=0 and gamma, delta are roots of Ax^(2)+Bx+C=0 . If a,b,c are in GP as well as alpha,beta, gamma, delta , then A,B,C are in:

Suppose alpha, beta are roots of ax^(2)+bx+c=0 and gamma, delta are roots of Ax^(2)+Bx+C=0 . If a,b,c are in GP as well as alpha,beta, gamma, delta , then A,B,C are in: