8. If 2+√√5i is a root of x² - px + q = 0, where p and q are real, then the ordered pair (p.q) = A) (4,9) [ ] B) (9,4) C) (3,3) D) (2.3)
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Answer:
Correct option is
A
(-4, 7)
(2+
3i
)
2
+p(2+
3i
)+q=0
4−3+4
3
i+2p+
3
pi+q=0
⇒(1+2p+q)+(4
3
+
3
p)i=0
⇒2p+q=−1; p=−4
⇒q=−1+8=7
⇒ (A).
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