If tan θ + cot θ = 12, then tan2 θ + cot2 θ is :

66 128 142 132

142

tan θ + cot θ = 12 on squaring both side (tan θ + cot θ)2 = (12)2 tan2 θ + cot2 θ + 2 .tan θ .cot θ  = 144 tan θ = \(\frac{1}{cot θ}\) tan2 θ + cot2 θ + 2 = 144 tan2 θ + cot2 θ  = 144-2 = 142