If the equation `a(x-1)^2+b(x^2-3x+2)+x-a^2=0` is satisfied for all `x in R` then the numb ordered pairs of `(a, b)` can be

If the equation x^(2)+9y^(2)-4x+3=0 is satisfied for all real values of x and y, then

If the inequality (m x^2+3x+4)//(x^2+2x+2)<5 is satisfied for all x in R , then find the value of mdot

If the inequality (m x^2+3x+4)/(x^2+2x+2)<5 is satisfied for all x in R , then find the value of mdot

If a,b in R and the equation x^(2)+(a-b)x+1-a-b=0 has unequal roots for all b in R then a can be

If the equations x^(2)+ax+12=0,x^(2)+bx+15=0 and x^(2)+(a+b)x+36=0 have a common positive root, then the ordered pair (a, b) is

In the expansion of (1+ax+bx^(2))(1-3x)^(15) if coefficient of x^(2) and x^(3) is 0 then ordered pair (a,b) is equal to

Let ' n ' is the number of ordered pair (x ,y) satisfying the system of equations {x^2y^2-2x+y^2=0 2x^2-4x+3+y^2=0(x , y in R) and ' S ' is the sum of all the values of xa n dy satisfying the given system of equations then (a) n > S (b) n < S (c) n-2 = S (d) S/n=2

Let ' n ' is the number of ordered pair (x ,y) satisfying the system of equations {x^2y^2-2x+y^2=0 2x^2-4x+3+y^2=0(x , y in R) and ' S ' is the sum of all the values of xa n dy satisfying the given system of equations then n > S (b) n

The number of pairs (a,b) for which a(x+1)^2+b(x^(2)-3x-2)+x+1=0 AA x in R is :