If the graph of the function `y=(a-b)^(2)x^(2)+2(a+b-2c)x+1(AA a ne b)`

The non-zero solution of the equation (a-x^(2))/(bx) - (b-x)/(c) = (c-x)/(b) - (b - x^(2))/(c x) , where b ne 0, c ne 0 is

If x_(1),x_(2) are the roots of the quadratic equation ax^(2)+bx+c=0 and c ne 0, find the value of (ax_(1)+b)^(-2)+(ax_(2)+b)^(-2) in terms of a,b,c

If ("lim")_(xvec1^-)(2-x+a[x-1]+b[1+x]) exists, then aa n db can take the values of (where [.] denotes the greatest integer function). (a)a=1/3,b=1 (b) a=1, b=-1 (c) a=9, b=-9 (d)a=2, b=2/3

If ("lim")_(xto1^-)(2-x+a[x-1]+b[1+x]) exists, then aa n db can take the values of (where [.] denotes the greatest integer function). (a) a=1/3,b=1 (b) a=1, b=-1 (c) a=9, b=-9 (d) a=2, b=2/3

If a/(y+z) = b/(z + x) = c/(x+y) , then prove that (a(b-c))/(y^(2)-z^(2)) = (b(c-a))/(z^(2)-x^(2)) = (c(a-b))/(x^(2)-y^(2)) .

If (x+1)/(x-1)=(a)/(b) and (1-y)/(1+y)=(b)/(a), then the value of (x-y)/(1+xy) is (2ab)/(a^(2)-b^(2)) (b) (a^(2)-b^(2))/(2ab) (c) (a^(2)+b^(2))/(2ab) (d) (a^(2)-b^(2)backslash)/(ab)

If the equations a x^(2)+2 b x+c-0 and a x^(2)+2 c x+b=0 , b ne c have a common root, then (a)/(b+c)=

In the pair of linear equations a_(1)x +b_(1)y +c_(1)=0 and a_(2)x +b_(2)y +c_(2)=0 if (a_(1))/(a_(2)) ne (b_(1))/(b_(2)) then the

Solve the following pair of equations: (x)/(a)+ (y)/(b)= a +b, (x)/(a^(2)) + (y)/(b^(2))=2, a, b ne 0