List of top Questions asked in BITSAT

The nearest point on the line \( 3x + 4y = 12 \) from the origin is:

Find the eccentricity of the conic represented by \( x^2 - y^2 - 4x + 4y + 16 = 0 \):

Let \( f(x + y) = f(x) \cdot f(y) \) for all \( x, y \), where \( f(0) = 0 \). If \( f(5) = 2 \) and \( f'(0) = 3 \), then \( f'(5) \) is equal to:

The length of the tangent drawn from any point on the circle \( x^2 + y^2 + 2\lambda x + \mu = 0 \) to the circle \( x^2 + y^2 + 2\gamma x + \lambda = 0 \), where \( \mu \geq \lambda \), is:

If \( x \to \infty \), then the value of \( x^4 + 3x^3 + 2x^2 - 11x - 6 \) is:

In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes?

The coefficient of \( x^{20} \) in the expansion of \( (1 + x^2)^{40} \left( x^2 + 2 + \frac{1}{x^2} \right)^{-5} \) is:

If \( x \) is positive then the sum to infinity of the series \[ \frac{1}{1+3x} - \frac{1}{1+3x^2} + \frac{1}{1+3x^3} - \dots \, \infty \] is:

The number of positive integral solutions of \( abc = 30 \) is:

Let \( T(k) \) be the statement \( 1 + 3 + 5 + \dots + (2k - 1) = k^2 + 10 \). Which of the following is correct?

Let A and B be two sets then \( (A \cup B) \cup (A \cap B) \) is equal to:

The amplitude of \( \sin \frac{\pi}{5} + i \left( 1 - \cos \frac{\pi}{5} \right) \) is:

In \( \sin \theta + \sin^2 \theta = 1/2 \), cos\( 2\theta + \) cos\( \theta = 3/2 \), then cos\( \theta - \phi \) is equal to:

Which of the following is soluble in yellow ammonium sulphide?

Let \( x \) and \( y \) be two natural numbers such that \( x \cdot y = 12(x + y) \) and \( x \leq y \). Then the total number of pairs \( (x, y) \) is:

0.45 g of acid molecular weight 90 is neutralized by 20 mL of 0.5N caustic potash. The basicity of the acid is:

The helical structure of protein is stabilized by:

Complete hydrolysis of cellulose gives:

In the reaction of KMnO\(_4\) with an oxalate in acidic medium, MnO\(_4^-\) is reduced to Mn\(^{2+}\) and C\(_2\)O\(_4^{2-}\) is oxidized to CO\(_2\). Hence, 50 mL of 0.02 M KMnO\(_4\) is equivalent to:

Alizarin is an example of:

2,4-Dichlorophenoxyacetic acid is used as:

Which of the following processes is used for the preparation of acetone?

The preparation of ethyl acetoacetate involves:

Which one of the following pairs is not correctly matched?

Among the following, the lowest degree of paramagnetism per mole of the compound at 298 K will be shown by: