The number of values of the pair (a, b) for which `a(x+1)^2 + b(-x^2 – 3x - 2) + x + 1 = 0` is an identity in x, is

Find the number of values of the pair (a,b) for which a(x+1)^(2)+b(x^(2)-3x-2)+x+1= 0 AA x in R

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 :

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

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 :

The number of values of 'a' for which (a^2-3a+2)x^2+(a^2-5a+6)x+a^2-4 =0 is an identity is

The value of k , for which (cos x+ sin x)^(2) +k sin x cos x-1 =0 is an identity, is ............ (A) 2 (B) -2 (C) 0 (D) 1

The number of values of a for which equations x^3+a x+1=0 and x^4+a x^2+1=0 have a common root is a) 0 b) 1 c) 2 d) Infinite

The number of values of a for which equations x^3+a x+1=0a n d x^4+a x^2+1=0 have a common root is a. 0 b. 1 c. 2 d. Infinite

Number of integral values of 'b' for which inequality (a^2 + 1)x^2 + 4(a+b)x +2 < 0 is true for atleast one 'x' and for all Real a, is (A)0 (B) 1 (C) 2 (D)3

The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is (a).0 (b) 1 (c) 2 (d) infinite