1.The set of all values of k>−1k > -1k>−1, for which the equation(3x2+4x+3)2−(k+1)(3x2+4x+3)(3x2+4x+2)+k(3x2+4x+2)2=0(3x^2 + 4x + 3)^2 - (k+1)(3x^2 + 4x + 3)(3x^2 + 4x + 2) + k(3x^2 + 4x + 2)^2 = 0(3x2+4x+3)2−(k+1)(3x2+4x+3)(3x2+4x+2)+k(3x2+4x+2)2=0has real roots, is:a.[12,1)\left[\dfrac{1}{2}, 1\right)[21,1)b.[12,1]\left[\dfrac{1}{2}, 1\right][21,1]c.[12,∞]−{1}\left[\dfrac{1}{2}, \infty\right] - \lbrace 1\rbrace [21,∞]−{1}d.[2,3)[2, 3)[2,3)Login to continueOnly logged in users canattempt or see the solution.