List of top Mathematics Questions

The principal value of $\sin^{-1} \left( - \frac{\sqrt{3}}{2} \right)$ is :

The points $ 0, 2 + 3i, i, - 2 - 2i $ in the argand plane are the vertices of a

The points $A(3,2,0)$, $B(5,3,2)$ and $C(0,2,4)$ are the vertices of a triangle. Find the distance of the point $A$ from the point in which the bisector of $??AC$ meets $[BC]$.

The point of intersection of the lines $\frac{x-5}{3}=\frac{y-7}{-1}=\frac{z+2}{1}$; $\frac{x+3}{-36}=\frac{y-3}{2}=\frac{z-6}{4}$ is

The point $(4, 1)$ undergoes the following two successive transformations : (i) Reflection about the line $y = x$. (ii) Translation through a distance of $2$ units along the positive $x$-axis. Then the final coordinates of the point are

The point (4, 1) undergoes the following three transformations successively I. Reflection about the line y = x. II. Transformation through a distance 2 units along the positive direction of X-axis. III. Rotation through an angle $\frac{\pi}{4}$ about the origin in the counter clockwise direction. Then, the final position of the point is given by the coordinates

The point $(2t^2 + 2t + 4, t^2 + t + 1)$ lies on the line x + 2y = 1 for

The point $(-2, -3, -4)$ lies in the

The plane XOZ divides the join of $(1, -1, 5) $ and $(2, 3, 4)$ in the ratio $\lambda :1$ then $\lambda$ is

The pitch of a screw gauge is $0.5\, mm$ and there are $100$ divisions on it circular scale. The instrument reads $+2$ divisions when nothing is put in between its jaws. In measuring the diameter of a wire, there are $8$ divisions on the main scale and $83^{rd}$ division coincides with the reference line. Then the diameter of the wire is

The period of the function $\sin\left(\frac{2x}{3}\right)+\sin\left(\frac{3x}{2}\right) $ is

The perpendicular bisector of the line segment joining P (1, 4) and Q(k, 3) has y-intercept -4. Then a possible value of k is

The perimeter of the triangle with vertices at $ (1, 0, 0), (0, 1, 0) $ and $ (0 , 0 , 1)$ is :

The period of $\sin^2 \theta$ is

The parabola $y^{2} = 2x$ divides the circle $x^{2 }+ y^{2} = 8$ in two parts. Then, the ratio of the areas of these parts is

The parametric form of equation of the circle $x^2 + y^2 - 6x + 2y - 28 = 0$ is

The owner of a milk store finds that he can sell $980\,L$ of milk each week at ?

The order and degree of $\left(1+ \frac{dy}{dx}\right)^{2} = 5\left(\frac{dy}{dx}\right)^{2} $ are

The observation which occur most frequently is known as :

The number of ways of distributing $50$ identical things among $8$ persons in such a way that three of them get $8$ things each, two of them get $7$ things each, and remaining $3$ get $4$ things each, is equal to

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

The number of ways in which $8$ different flowers can be strung to form a garland so that $4$ particular flowers are never separated is

The number of ways in which a mixed doubles game in tennis can be arranged from 5 married couples, if no husband and wife play in the same game, is

The number of ways in which the six faces of a cube be painted with six different colours is

The number of ways in which 4 men and 3 ladies sit at a round table so that no two ladies sit together is