Скачать или смотреть Solve in Seconds: The MIND-BLOWING Cramer’s Rule Shortcut You Need for JEE 2026

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The MIND-BLOWING Cramer’s Rule Shortcut You Need for JEE 2026
Discussed Questions:
If the system of equations
2𝑥 + 𝜆𝑦 + 3𝑧 = 5
3𝑥 + 2𝑦 − 𝑧 = 7
4𝑥 + 5𝑦 + 𝜇𝑧 = 9
has infinitely many solutions, then 𝜆
2 + 𝜇
2
is equal to:
[JEE Mains 2025]
Let the system of equations:
2𝑥 + 3𝑦 + 5𝑧 = 9
7𝑥 + 3𝑦 − 2𝑧 = 8
12𝑥 + 3𝑦 − 4 + 𝜆 𝑧 = 16 − 𝜇
have infinitely many solutions. Then the radius of the circle centred at 𝜆, 𝜇 and
touching the line 4𝑥 = 3𝑦 is [JEE Mains 2025]
If the system of equation :
𝜆 − 1 𝑥 + 𝜆 − 4 𝑦 + 𝜆𝑧 = 5
𝜆𝑥 + 𝜆 − 1 𝑦 + 𝜆 − 4 𝑧 = 7
𝜆 + 1 𝑥 + 𝜆 + 2 𝑦 − 𝜆 + 2 𝑧 = 9
has infinitely many solutions, then 𝜆
2 + 𝜆 is equal to
[JEE Mains 2025]