The number of values of $$a$$ for which $$\left( {{a^2} - 3a + 2} \right){x^2} + \left( {{a^2} - 5a + 6} \right)x + {a^2} - 4 = 0$$ is an identity in $$x$$ is
A.
0
B.
2
C.
1
D.
3
Answer :
1
Solution :
It is an identity in $$x$$ if $${a^2} - 3a + 2 = 0,{a^2} - 5a + 6 = 0,{a^2} - 4 = 0$$ hold at the same time.
Releted MCQ Question on Algebra >> Quadratic Equation
Releted Question 1
If $$\ell ,m,n$$ are real, $$\ell \ne m,$$ then the roots by the equation: $$\left( {\ell - m} \right){x^2} - 5\left( {\ell + m} \right)x - 2\left( {\ell - m} \right) = 0$$ are