Class 11Mathematics4-2.Quadratic Equations and InequationsSolution of quadratic equations and Nature of roots
EasyWhat is the product of the roots of the equation $(x - 2)^2 - 3(x - 2) + 2 = 0$?
- A$12$
- B$6$
- C$7$
- D$8$
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Let $\alpha$ and $\beta$ be the roots of the equation $(x - a)(x - b) = c$,where $c \neq 0$. What are the roots of the equation $(x - \alpha)(x - \beta) + c = 0$?
Medium
View SolutionTwo positive distinct numbers $a$ and $b$ each differ from their reciprocal by $1$. The value of $a + b$ is
$A$ prime number $p$ is called special if there exist primes $p_1, p_2, p_3, p_4$ such that $p = p_1 + p_2 = p_3 - p_4$. The number of special primes is
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View SolutionHow many real roots does the equation $e^{\sin x} - e^{-\sin x} - 4 = 0$ have?
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