List of top Mathematics Questions asked in BCECE

Five candidates are contesting an election, and three members are to be elected. A voter can vote for any number of candidates, but not more than the number of members to be elected. The number of ways a person can cast their vote is :
The product of first \( n \) odd natural numbers is :
If \( 0 < r < s \le n \) and \( ^nP_r = ^nP_s \), then the value of \( (r - s) \) is :
The integral of the function \( \frac{1}{9 - 4x^2} \) is :
The exponent of 7 in \( ^{100}C_{50} \) is :
Let \( f(x) = x^3 - 6x^2 + 12x - 3 \), then at \( x = 2 \), \( f(x) \) has :
The interval, in which the function \( f(x) = \frac{3}{x} + \frac{x}{3} \) is strictly decreasing, is :
For \( I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), if \( A = \begin{bmatrix} a & b \\ c & -a \end{bmatrix} \) be such that \( A^2 = I \), then :
If \( \begin{bmatrix} 1 & 3 \\ 4 & 5 \end{bmatrix} \begin{bmatrix} x \\ 2 \end{bmatrix} = \begin{bmatrix} 5 \\ 6 \end{bmatrix} \), then value of \( x \) is :
If \( x = at^4 \) and \( y = 2at^2 \), then \( \frac{d^2y}{dx^2} \) is equal to :
If $A = \begin{bmatrix}1&2&3\\ -1&1&2\\ 1&2&4\end{bmatrix} $ then $\left(A^{2} - 5A\right)A^{-1} = $
The vertices of the hyperbola are at (-5,-3) and (-5,-1) and the extremities of the conjugate axis are at (-7,-2) and (-3,-2), then the equation of the hyperbola is
The characteristic equation of a matrix A is λ3 - 5λ2 - 3λ + 2I = 0 then |adj A| =
The equation of a circle passing through the point (1, 1) and the point of intersection of the circles x2 + y2 + 13x - 3y = 0 and 2x2 + 2y2 + 4x - 7y -25 = 0 is
The probability that among 7 persons, no 2 were born on the same day of a week is
For the events A and B, P(A) = \(\frac{3}{4}\), P(B) = \(\frac{1}{5}\), P(A ∩ B) = \(\frac{1}{20}\) then P(A/B) = _________
Two dices are thrown simultaneously. The probability of obtaining a total score of 5 is
If A and B are events with P(A ∪ B) = \(\frac{3}{4}\), P(A') = \(\frac{2}{3}\) and P(A ∩ B) = \(\frac{1}{4}\) then P(B) is
The equation of the line passing through the point (5, 3, 2) and perpendicular to the lines \(\frac{x-2}{1}=\frac{y-3}{-1}=\frac{z-4}{1}\) and \(\frac{x-1}{2}=\frac{y-1}{1}=\frac{z+1}{0}\) is
The equation of the plane which bisects the line joining (3, 0, 5) and (1,2,-1) at right angles is
The angle between two diagonals of a cube is
If the line \(2x+\sqrt6y=2\) touches the hyperbola x2 - 2y2 = 4, then the point of contact is
The equation of the tangent and normal to the ellipse x2 + 2y2 + 2x - 4y - 14 = 0 at (2, -1) is
If ω is an imaginary cube root of 1, then the value of 1(2 - ω) (2 - ω2)+ 2(3 - ω) (3 - ω2)+ … + (n-1)(n - ω) (n - ω2) is
The general solution of \(\sqrt3\cos x+\sin x=\sqrt2\), for any integer “n” is