JEE Quadratic Equations Revision Quiz
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Questions and Answers

What is the sum of all the real values of $x$ satisfying the equation $2(x-1)(x+5) = 1$?

  • 14 (correct)
  • 16
  • -4
  • -5
  • If both the roots of the quadratic equation $x^2 - 2px + p^2 + p - 5 = 0$ are less than 3, then $p$ lies in the interval:

  • (1, $\infty$)
  • (3, $\infty$)
  • ($-\infty$, 1)
  • (1, 3) (correct)
  • If the quadratic equations $ax^2 + 2cx + b = 0$ and $ax^2 + 2bx + c = 0$ ($b \neq c$) have a common root, then $a + 4b + 4c$ is equal to:

  • $-1$
  • $1$
  • $0$ (correct)
  • $-2$
  • The value of $a$ in the equation $sin^4 x - 2cos^2 x + a^2 = 0$ is solvable if the equation $x^2 - 2x + 3 = 0$ is:

    <p>One</p> Signup and view all the answers

    The sum of all the real values of $x$ satisfying the equation $2(x-1)(x+5) = 1$ is:

    <p>$3 + 2$</p> Signup and view all the answers

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