Set, Relation and FunctionHard
Question
If the two roots of the equation, (a − 1)(x4 + x2 + 1) + (a + 1)(x2 + x + 1)2 = 0 are real and distinct, then the set of all values of ′a′ is :
Options
A.
B.
C.
D.
Solution
Equation be cames
(a - 1)(x2 - x + 1) + (a + 1)(x2 + x + 1) = 0
ax2 + x + a = 0
for roots to be distinct and real a ≠ 0 and 1 - ha2 > 0
⇒ a ∈
(a - 1)(x2 - x + 1) + (a + 1)(x2 + x + 1) = 0
ax2 + x + a = 0
for roots to be distinct and real a ≠ 0 and 1 - ha2 > 0
⇒ a ∈
Create a free account to view solution
View Solution FreeMore Set, Relation and Function Questions
The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is...Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is...Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total n...Let L denote the set of all straight lines in a plane. Let a relation R be defined by α R β ⇔ α ...Let X be a set containing 10 elements and P(X) be its power set. If A and B are picked up at random from P(X), with repl...