jee-main 2020 Q51

jee-main · India · session2_03sep_shift1 Discriminant and conditions for roots Parameter range for specific root conditions (location/count)

Consider the two sets: $A = \left\{ m \in R : \right.$ both the roots of $x ^ { 2 } - ( m + 1 ) x + m + 4 = 0$ are real $\}$ and $B = [ - 3,5 )$
Which of the following is not true?
(1) $A - B = ( - \infty , - 3 ) \cup ( 5 , \infty )$
(2) $A \cap B = \{ - 3 \}$
(3) $B - A = ( - 3,5 )$
(4) $A \cup B = R$

Consider the two sets:
$A = \left\{ m \in R : \right.$ both the roots of $x ^ { 2 } - ( m + 1 ) x + m + 4 = 0$ are real $\}$ and $B = [ - 3,5 )$

Which of the following is not true?

(1) $A - B = ( - \infty , - 3 ) \cup ( 5 , \infty )$\\
(2) $A \cap B = \{ - 3 \}$\\
(3) $B - A = ( - 3,5 )$\\
(4) $A \cup B = R$

Paper Questions

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