List of top Mathematics Questions asked in BCECE

Inverse of a diagonal non-singular matrix is

A coin is tossed n times. The probability of getting head at least once is greater than 0.8, then the least value of n is

The equation of the plane passing through the mid point of the line of join of the points $(1, 2, 3)$ and $(3, 4, 5) $ and perpendicular to it is

The domain of the function $ f(x)=\frac{{{\cos }^{-1}}x}{[x]} $ is

For a party $8$ guests are invited by a husband and his wife. They sit in a row for dinner. The probability that the husband and his wife sit together is

The equation of the circle concentric to the circle $ 2{{x}^{2}}+2{{y}^{2}}-3x+6y+2=0 $ and having area double the area of this circle, is

If $e$ and $e^{'}$ are the eccentricities of hyperbolas $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ and its conjugate hyperbola, then the value of $\frac{1}{e^{2}}+\frac{1}{e^{'2}}$ is

Let $ f(x)=\left\{ \begin{matrix} \frac{\tan x-\cot x}{x-\frac{\pi }{4}}, & x\ne \frac{\pi }{4} \\ a, & x=\frac{\pi }{4} \\ \end{matrix} \right. $ the value of a so that $ f(x) $ is continuous at $ x=\frac{\pi }{4} $

The value of the $ \int_{{}}^{{}}{\frac{\sin x+\cos x}{3+\sin 2x}}dx $ is

If $ {{I}_{m}}\left( \frac{z-1}{2z+1} \right)=-4, $ then locus of z is