List of top Mathematics Questions

\(\frac{1 + \tan^2 A}{1 + \cot^2 A} = \)
If \(\cos \theta + \cos^2 \theta = 1\) then the value of \(\sin^2 \theta + \sin^4 \theta\) is
If the length of the diagonal of a cube is \(2\sqrt{3}\) cm, then the length of its edge is
The ratio of the total surface area of a sphere and that of a hemisphere having the same radius is
If the edge of a cube is doubled then the total surface area will become how many times of the previous total surface area?
What is the total surface area of a hemisphere of radius R?
The ratio of the radii of two cylinders is 4 : 5 and the ratio of their heights is 6 : 7, then the ratio of their volumes is
If the curved surface area of a cone is 880 cm\(^2\) and its radius is 14 cm, then its slant height is
In \(\triangle DEF\) and \(\triangle PQR\) it is given that \(\angle D = \angle Q\) and \(\angle R = \angle E\), then which of the following is correct?
\(\triangle ABC\) and \(\triangle DEF\) are such that \(\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{DF}\) and \(\angle A = 40^\circ\), \(\angle B = 80^\circ\); then the measure of \(\angle F\) is
The number of common tangents of two intersecting circles is
\(\triangle ABC \sim \triangle DEF\) and BC = 3 cm, EF = 4 cm. If the area of \(\triangle ABC\) is 54 cm\(^2\), then the area of \(\triangle DEF\) is
The ratio of the volumes of two spheres is 64 : 125. Then the ratio of their surface areas is
In any \(\triangle ABC\), \(\angle A = 90^\circ\), BC = 13 cm, AB = 12 cm; then the value of AC is
The corresponding sides of two similar triangles are in the ratio 4 : 9. What will be the ratio of the areas of the triangles?
A line which intersects a circle in two distinct points is called
What is the nature of the roots of the quadratic equation \(2x^2 - 6x + 3 = 0\) ?
If A(0, 1), B(0, 5) and C(3, 4) are the vertices of any \(\triangle ABC\), then the area (in square unit) of \(\triangle ABC\) is
\(\tan 10^\circ \tan 23^\circ \tan 80^\circ \tan 67^\circ = \)
If the ratio of areas of two similar triangles is 100 : 144 then the ratio of their corresponding sides is
If one root of the quadratic equation \(2x^2 - x - 6 = 0\) is \(-\frac{3}{2}\) then its another root is
If \(\alpha\) and \(\beta\) are roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) then the value of \(\alpha^2 + \beta^2\) is
If the graphs of two linear equations are parallel then the number of solutions will be
If one root of the quadratic equation \(2x^2 - 7x - p = 0\) is 2 then the value of p is
If \(p(x) = x^4 - 2x^3 + 17x^2 - 4x + 30\) is divided by \(q(x) = x + 2\) then the degree of the quotient is