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The sum of all integral values of for which
MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra
Problem
The sum of all integral values of
λ
\lambda
λ
for which
(
λ
2
+
λ
−
2
)
x
2
+
(
λ
+
2
)
x
<
1
∀
x
∈
R
(\lambda^2 + \lambda - 2)x^2 + (\lambda + 2)x < 1 \forall x \in R
(
λ
2
+
λ
−
2
)
x
2
+
(
λ
+
2
)
x
<
1∀
x
∈
R
, is: (a) -1 (b) -3 (c) 0 (d) -2
Related theory
Nature of Roots
Quadratic Equations
Linear Inequalities
Functions
Algebra
Quadratic and rational inequalities
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