2026 ELITE CERTIFICATION PROTOCOL

Mastery: WBJEE Practice Test 2026 | Exam Prep

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Q1Domain Verified
If the roots of the quadratic equation $ax^2 + bx + c = 0$ are $\alpha$ and $\beta$, and the roots of the quadratic equation $cx^2 + bx + a = 0$ are $\gamma$ and $\delta$, where $a, b, c$ are non-zero constants, then which of the following relationships must hold between the roots?
$\alpha\gamma = 1$ and $\beta\delta = 1$
$\alpha\gamma = a/c$ and $\beta\delta = c/a$
$\alpha\gamma = -1$ and $\beta\delta = -1$
$\alpha\gamma = c/a$ and $\beta\delta = a/c$
Q2Domain Verified
Consider the system of equations: $x + y + z = 6$ $x^2 + y^2 + z^2 = 14$ $x^3 + y^3 + z^3 = 36$ Find the value of $xyz$.
6
{ "text": "", "is_correct": false }
-6
1
Q3Domain Verified
If $x = \sqrt[3]{a + \sqrt{b}} + \sqrt[3]{a - \sqrt{b}}$, where $a^2 - b = k^3$ for some constant $k$, then which of the following is always true for $x$?
$x^3 - 3kx - 2a = 0$
$x^3 + 3kx - 2a = 0$
$x^3 - 3kx + 2a = 0$
$x^3 + 3kx + 2a = 0$

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This domain protocol is rigorously covered in our 2026 Elite Framework. Every mock reflects direct alignment with the official assessment criteria to eliminate performance gaps.

This domain protocol is rigorously covered in our 2026 Elite Framework. Every mock reflects direct alignment with the official assessment criteria to eliminate performance gaps.

This domain protocol is rigorously covered in our 2026 Elite Framework. Every mock reflects direct alignment with the official assessment criteria to eliminate performance gaps.

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