Discussion

Explanation:

The roots of the equatino 9x² - 36x + a = 0 are in the ratio 2 : 1.

Let the roots be α and 2α.

⇒ Sum of the roots = -b/a
⇒ α + 2α = -(-36)/9 = 4
⇒ 3α = 4
⇒ α = 4/3

Now, product of the roots = c/a
⇒ α × 2α = a/9
⇒ 18α² = a
⇒ a = 18 × 16/9 = 32.

Hence, option (b).

» Your doubt will be displayed only after approval.