List of top Mathematics Questions

The maximum value of \((\frac{1}{x})^x\), \(x > 0\) is
The derivative of \(sin(log(\frac{x+3}{x}))\) is
The surface area of a spherical ball is increasing at the rate of \(4π \text{cm}^2\)/second. The rate at which the radius is increasing when the surface area is \(16π \text{cm}^2\) is
Negation of the statement "If an integer is greater than 4 and less than 5, then it is a multiple of 3", is
If \(A = [\begin{array}{cc}3 & 1 \\ -1 & 2\end{array}]\), \(C = [\begin{array}{cc}7 & 3 \\ 0 & 6\end{array}]\) and \(AB = C\), then the inverse of matrix B is
If \(y = tan^{-1}\sqrt{\frac{1+sin2x}{1-sin2x}}\), then \(\frac{\text{d}y}{\text{d}x}\) at \(x = \frac{π}{6}\) is
The element in the third row and the second column in the inverse matrix of a matrix \(\left[ \begin{array}{ccc}1 & 3 & 3 \\ 3 & 1 & 3 \\ 3 & 3 & 4\end{array} \right]\) is
Let \(P_1\), \(P_2\), \(P_3\) be the altitudes of a triangle ABC from the vertices A, B, C respectively. If \(△\) denotes the area of the triangle and s is the semi-perimeter of the triangle, then \(\frac{cosA}{P_1}+\frac{cosB}{P_2}+\frac{cosC}{P_3} =\)
In a triangle ABC, with the usual notations, \(\angle B = \frac{π}{3}\), \(\angle C = \frac{π}{4}\). If D divides BC internally in the ratio 1:3, then \(\frac{sin\angle BAD}{sin\angle CAD} =\)
If \(\underset{x\rightarrow \infty }{lim}\frac{(2x-1)^{19}\cdot (3x+2)^{11}}{(6x-5)^{30}} = 2^a\cdot 3^b\), then \(a+b =\)
The dual of the statement pattern \((p∧\sim q)⟶(q∧\sim p)\) is equivalent to
The angle between the tangents drawn from the origin to the circle \((x-7)^2+(y+1)^2 = 25\) is
The line \(x+y = 3\) intersects the pair of straight lines \(x^2-3xy+y^2 = 0\) at points A and B. Then the co-ordinates of the mid-point of AB are
The equation of the line passing through the point of intersection of the lines \(x+2y+6 = 0\) and \(2x-y = 2\) and making an intercept 5 on the y-axis is
The equation of the common tangent touching the circle \((x-3)^2+y^2 = 9\) and the parabola \(y^2 = 4x\) above the X-axis is
The approximate value of \((0.007)^{\frac{1}{3}}\) is
A bag contains 23 balls, of which 7 are identical. The number of ways of selecting 12 balls from the bag is....
If 6 boys and 3 girls are to be seated in a row for a photograph, then the probability that the end seats are occupied by the girls and no two girls are side by side is
If \(sec4θ-sec2θ = 2\), then \(θ =\)
If \(33θ = π\), then the value of \(cosθcos2θcos4θcos8θcos16θ\) is
If \(x\), y, z are the sides of a right angled triangle, where z is the largest side, then \(\frac{1}{log_{x+z}y}+\frac{1}{log_{z-x}y} =\)
If \(ω\) is a complex cube root of unity, then the value of \(sin[π(ω^{10}+ω^{23})-\frac{π}{4}] =\)
The area of the shaded region is ... sq.units.
In a 700 m race, A reaches the finishing point in 30 seconds & B reaches in 35 seconds. By how much distance A beats B?
Two pipes A and B can fill a tank in 12 minutes and 15 minutes respectively while a third pipe C can empty the full tank in 20 minutes. All the three pipes are opened in the beginning but pipe C is closed 6 minutes before the tank is filled. In what time will the tank is full?