List of top Mathematics Questions asked in BCECE

If $A = \begin{bmatrix}1&2&3\\ -1&1&2\\ 1&2&4\end{bmatrix} $ then $\left(A^{2} - 5A\right)A^{-1} = $
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
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) = _________
The probability that among 7 persons, no 2 were born on the same day of a week is
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
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 angle between two diagonals of a cube is
The equation of the plane which bisects the line joining (3, 0, 5) and (1,2,-1) at right angles 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
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
If \(\sin^{-1}(\frac{x}{5})+\cosec^{-1}(\frac{5}{4})=\frac{\pi}{2},\) then the value of x
The imaginary part of conjugate of \((\frac{1+i}{1-i})^5\) is
The general solution of \(\sqrt3\cos x+\sin x=\sqrt2\), for any integer “n” is
The area enclosed between the parabolas y2 = 16x and x2 = 16y is
The solution of y' = ex-y + x2e-y is
The value of \(4\tan^{-1}(\frac{1}{5})-\frac{\pi}{4}=\)
The value of the integral \(\int\limits^{\pi}_{-\pi}\frac{\cos^2x}{1+a^x}dx,\)
a > 0 is
The value of the integral
\(\int\frac{e^x(x^2+1)}{(x+1)^2}\ dx=\)
The value of the integral
∫ex{f(x) + f'(x)} dx is
If the function f(x) defined by
\(f(x)=\frac{x^{100}}{100}+\frac{x^{99}}{99}+...+\frac{x^2}{2}+x+1,\)
then f'(0)=
A man 6' tall moves away from a source of light 20′ above the ground level, his rate of walking being 4 m.p.h. At what rate is the tip of his shadow moving ?
The maximum area of a rectangle that can be inscribed in a circle of radius 2 units is