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\[ \large f_n(x)=x^2 + ( x + 1) ^2 +(x+2)^2+\ldots+(x+n)^2 \]

The function \(f_n(x) \) is defined above for \(x\) ranges over all real values with ...

\[\large x^4-(a^2-5a+6)x^2-(a^2-3a+2)=0 \]

Find the sum of all integral values of constant \(a\) for which only real roots exist for the ...

\[\large\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\]

How many real solution(s) exist for the above equation?

Which of the following ketones will NOT respond to \(\text{Iodoform}\) test?

The points \((3,3)\), \((h,0)\) and \((0,k)\) are collinear. What is the value of \(\dfrac{1}{h} + \dfrac{1}{k}\)?

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