Question

The number of values of the pair (a, b) for which a(x + 1)2 + b(x^2 – 3x - 2) + x + 1 = 0) is an identity in 'x' is

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Answer 1

The number of values of the pair (a, b) for which a(x + 1)2 + b(x^2 – 3x - 2) + x + 1 = 0) is an identity in 'x' isPut a=−b in equaton 2 and 3, we get

b=

5

1

from equation 2

and b=

3

1

from equation 3, which is not possible.

∴(a,b)∈ϕ for which f(x)=0∀x∈R

Answer 2

The number of values of the pair (a, b) for which a(x + 1)2 + b(x^2 – 3x - 2) + x + 1 = 0) is an identity in 'x' isPut a=−b in equaton 2 and 3, we get

b=

5

1

from equation 2

and b=

3

1

from equation 3, which is not possible.

∴(a,b)∈ϕ for which f(x)=0∀x∈R

Answer 3

The number of values of the pair (a, b) for which a(x + 1)2 + b(x^2 – 3x - 2) + x + 1 = 0) is an identity in 'x' isPut a=−b in equaton 2 and 3, we get

b=

5

1

from equation 2

and b=

3

1

from equation 3, which is not possible.

∴(a,b)∈ϕ for which f(x)=0∀x∈R

Answer 4

The number of values of the pair (a, b) for which a(x + 1)2 + b(x^2 – 3x - 2) + x + 1 = 0) is an identity in 'x' isPut a=−b in equaton 2 and 3, we get

b=

5

1

from equation 2

and b=

3

1

from equation 3, which is not possible.

∴(a,b)∈ϕ for which f(x)=0∀x∈R