5 Questions
Which one of these is the value of $a$ in the equation $x^3 + ax^2 + b = 0$ if it has a double root?
$4a + 27b^3 = 0$
If the equation $(x - a)(x - 10) + 1 = 0$ has integral roots, what are the possible values of $a$?
8, 10
What is the other root of the equation $ix^2 - 2(i + 1)x + (2 - i) = 0$ if one root is $2 - i$?
$-i$
How many solutions does the equation $(\sin(ex))^2 = 5x + 5^{-x}$ have?
2
For which values of $k$ does the equation $3x^2 + 2x(k + 1) + (k^2 - 3k + 2) = 0$ have roots of opposite signs?
$k > 2$
Test your knowledge with the 1000 Most Important Questions for JEE - Part 1 quiz. This quiz covers a range of topics, including roots of equations, double roots, and more. Challenge yourself and see how well you fare in answering these JEE-related questions.
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