Concepts give rise to problems-1

Algebra Level 4

True or false?

If \(\left(c_1a_2-c_2a_1 \right)^2=\left( a_1b_2-a_2b_1\right) \left(b_1c_2-b_2c_1\right)\) holds true, then the equations \(a_1x^2+b_1x +c_1=0\) and \(a_2x^2+b_2x+c_2=0\) have only one common root.

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