Complex Numbers And Quadratic Equations question 4
Question: If $ x^{2}-hx-21=0,x^{2}-3hx+35=0 $ $ (h>0) $ has a common root, then the value of $ h $ is equal to [EAMCET 1986]
Options:
A) 1
B) 2
C) 3
D) 4
Show Answer
Answer:
Correct Answer: D
Solution:
Subtracting, we get $ 2hx=56 $ or $ hx=28 $ Putting in any, $ x^{2}=49 $ \ $ {{[ \frac{28}{h} ]}^{2}}=7^{2}\Rightarrow h=4(h>0) $
BETA
