NEET UG Algebra — practice questions
11 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice NEET UG Algebra in the app →In the equation $x^2 - \frac{15}{4}x + a^3 = 0$, one of the roots is the square of the other if $a$ is equal tConsider an infinite geometric series with first term $a$ and common ratio $r$. If its sum is 4 and the secondLet $A = \begin{bmatrix} 5 & 5\alpha & \alpha \\ 0 & \alpha & 5\alpha \\ 0 & 0 & 5 \end{bmatrix}$. If $|A^2| =If $a + b + c = 0$, one root of $\left| \begin{array}{ccc} a - x & c & b \\ c & b - x & a \\ b & a & c - x \enIf $\omega (\neq 1)$ be a cube root of unity and $(1 + \omega^2)^n = (1 + \omega^4)^n$, then the least positivThe least positive integer $n$ such that $\left( \frac{2i}{1 + i} \right)^n$ is a positive integer isIf the term independent of $x$ in the $\left( qrt{x} - \frac{k}{x^2} \right)^{10}$ is 405, then $k$ equalsIf the $4^{\text{th}}$ term in the expansion of $\left( ax + \frac{1}{x} \right)^n$ is $\frac{5}{2}$, then theIf $f(x)$ is odd function and $f(1) = a$, and $f(x + 2) = f(x) + f(2)$ then the value of $f(3)$ isIf $\alpha, \beta, \gamma$ are the roots of the equation $x^3 + 4x + 1 = 0$, then $(\alpha + \beta)^{-1} + (\bIf $A = \begin{bmatrix} \alpha & 0 \\ 1 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 0 \\ 5 & 1 \end{bmatri