The ratio of the area of a regular polygon of `n` sides inscribed in a circle to that of the polygon of same number of sides circumscribing the same is 3:4. Then the value of `n` is 6 (b) 4 (c) 8 (d) 12

Suppose A is a complex number and n in N , such that A^n=(A+1)^n=1, then the least value of n is 3 b. 6 c. 9 d. 12

The interior angle of a n sided regular polygon is 48^(@) more than the interior angle of a regular hexagon. Find n.

Find the number of triangles whose angular points are at the angular points of a given polygon of n sides, but none of whose sides are the sides of the polygon.

The equation of the circle circumscribing the triangle whose sides are the lines y = x + 2, 3y = 4x and 2y = 3x is ……

If cot^(-1)(n/pi)>pi/6,n in N , then the maximum value of n is 6 (b) 7 (c) 5 (d) none of these

The sum of the magnitudes of two forces acting at a point is 16 N. The resultant of these forces is perpendicular to the smaller force has a magnitude of 8 N. If the smaller force is magnitude x, then the value of x is (A) 2N (B) 4N (C) 6N (D) 7N

If theta is the internal angle of n sided regular polygon, then sintheta is equal to:

The ratio of the measures of three sides of a triangle is 4 : 2 : 3 and its perimeter is 36 cm. Find the area of this triangle.

Five charges, q each are placed at the corners of a regular pentagon of side 'a' as in figure: (a) (i) What will be the electric field at O, the centre of the pentagon ? (ii) What will be the electric field at O if the charge from one of the corners (say A) is removed ? (iii) What will be the electric field at O if the charge q at A is replaced by -q ? (b) How would your answer to (a) be affected if pentagon is replaced by n-sided regular polygon with charge q at each of its corners ?

n' number of particles are located at the verticles of a regular polygon of n sides having the edge length 'a'. They all start moving simultaneously with equal constant speed 'v' heading towards each other all the time. How long will the particles take to collide?