The least value of $$2\text{sin}^2θ+3\text{cos}^2θ$$​ is:

Correct option is D

Given:

$$2\text{sin}^2θ+3\text{cos}^2θ$$

Formula Used:

$$\sin^2\theta + \cos^2\theta = 1$$​

Solution:

$$2\text{sin}^2θ+3\text{cos}^2θ$$

= $$2(1 - \cos^2\theta) + 3\cos^2\theta$$

= $$2 - 2\cos^2\theta + 3\cos^2\theta$$

$$= 2 + \cos^2\theta$$

​​Since the minimum value of $$\cos^2\theta$$​ is 0,

= 2 + 0

= 2

Thus, the correct answer is (d).