List of top Mathematics Questions asked in BITSAT

The coefficient of the highest power of $x$ in the expansion of $(x + \sqrt{x^2 - 1})^8 + (x - \sqrt{x^2 - 1})^8$ is:

Evaluate the following limit: $ \lim_{n \to \infty} \prod_{r=3}^n \frac{r^3 - 8}{r^3 + 8} $.

If $ a, c, b $ are in GP, then the area of the triangle formed by the lines $ ax + by + c = 0 $ with the coordinate axes is equal to:

Consider the following two propositions: $$ P_1: \neg (p \rightarrow \neg q) $$ $$ P_2: (p \wedge \neg q) \wedge ((\neg p) \vee q) $$ If the proposition $p \rightarrow ((\neg p) \vee q)$ is evaluated as FALSE, then:

If $ f(x) $ is defined as follows:
$$ f(x) = \begin{cases} 4, & \text{if } -\infty < x < -\sqrt{5}, \\ x^2 - 1, & \text{if } -\sqrt{5} \leq x \leq \sqrt{5}, \\ 4, & \text{if } \sqrt{5} \leq x < \infty. \end{cases} $$ If $ k $ is the number of points where $ f(x) $ is not differentiable, then $ k - 2 = $

At an election, a voter may vote for any number of candidates not exceeding the number to be elected. If 4 candidates are to be elected out of the 12 contested in the election and voter votes for at least one candidate, then the number of ways of selections is:

The points represented by the complex numbers $ 1 + i, -2 + 3i, \frac{5}{3}i $ on the Argand plane are:

The angle between the lines whose direction cosines are given by the equations $ 3l + m + 5n = 0 $ and $ 6m - 2n + 5l = 0 $ is:

Let $ \mathbf{a} = \hat{i} - \hat{k}, \mathbf{b} = x\hat{i} + \hat{j} + (1 - x)\hat{k}, \mathbf{c} = y\hat{i} + x\hat{j} + (1 + x - y)\hat{k} $. Then, $ [\mathbf{a} \, \mathbf{b} \, \mathbf{c}] $ depends on:}

If $ a>0, b>0, c>0 $ and $ a, b, c $ are distinct, then $ (a + b)(b + c)(c + a) $ is greater than:

There are four numbers of which the first three are in GP and the last three are in AP, whose common difference is 6. If the first and the last numbers are equal, then the two other numbers are:

If $ |z_1| = 2, |z_2| = 3, |z_3| = 4 $ and $ |2z_1 + 3z_2 + 4z_3| = 4 $, then the absolute value of $ 8z_2z_3 + 27z_1z_3 + 64z_1z_2 $ equals:

The modulus of the complex number $ z $ such that $ |z + 3 - i| = 1 $ and $ \arg(z) = \pi $ is equal to:

If $ \sum_{k=1}^{n} k(k+1)(k-1) = pn^4 + qn^3 + tn^2 + sn $, where $ p, q, t, s $ are constants, then the value of $ s $ is equal to:

If $ 22 P_{r+1} : 20 P_{r+2} = 11 : 52 $, then $ r $ is equal to:

If $ z, \bar{z}, -z, -\bar{z} $ forms a rectangle of area $ 2\sqrt{3} $ square units, then one such $ z $ is:

If $ z_1, z_2, \dots, z_n $ are complex numbers such that $ |z_1| = |z_2| = \dots = |z_n| = 1 $, then $ |z_1 + z_2 + \dots + z_n| $ is equal to: