Home
Class 12
MATHS
The point A(1),A(2)…… A(10) are equally ...

The point `A_(1),A_(2)…… A_(10)` are equally distributed on a circle of radius R (taken in order). Prove that ` A_(1)A_(4) -A_(1)A_(2) =R`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-I (Subjective Type Questions)|16 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

Similar Questions

Explore conceptually related problems

Let A_(1)A_(2)A_(3)………………. A_(14) be a regular polygon with 14 sides inscribed in a circle of radius 7 cm. Then the value of (A_(1)A_(3))^(2) +(A_(1)A_(7))^(2) + (A_(3)A_(7))^(2) (in square cm) is……………..

If A_(1), A_(2), A_(3),....A_(51) are arithmetic means inserted between the number a and b, then find the value of ((b + A_(51))/(b - A_(51))) - ((A_(1) + a)/(A_(1) - a))

If a_(0), a_(1), a_(2),… are the coefficients in the expansion of (1 + x + x^(2))^(n) in ascending powers of x, prove that a_(0) a_(2) - a_(1) a_(3) + a_(2) a_(4) - …+ a_(2n-2) a_(2n)= a_(n+1) .

Let A_(1), A_(2), A_(3),…,A_(n) be the vertices of an n-sided regular polygon such that (1)/(A_(1)A_(2))=(1)/(A_(1)A_(3))+(1)/(A_(1)A_(4)). Find the value of n.

If the points (a_(1),b_(1))m(a_(2),b_(2))" and " (a_(1)-a_(2),b_(2)-b_(2)) are collinear, then prove that a_(1)/a_(2)=b_(1)/b_(2)

Let points A_(1), A_(2) and A_(3) lie on the parabola y^(2)=8x. If triangle A_(1)A_(2)A_(3) is an equilateral triangle and normals at points A_(1), A_(2) and A_(3) on this parabola meet at the point (h, 0). Then the value of h I s

Let A_(1), A_(2)…….A_(7) be a polygon and a(1), a_(2)……a_(7) be the complex numbers representing vertices A_(1), A_(2)……A_(7) . If |a_(1)|=|a_(2)|=……….|a_(7)=R , then sum_(1le i lt j le 7)|a_(i)+a_(j)|^(2)

If a_(0), a_(1),a_(2),… are the coefficients in the expansion of (1 + x + x^(2))^(n) in ascending powers of x, prove that if E_(1) = a_(0) + a_(3) + a_(6) + …, E_(2) = a_(1) + a_(4) + a_(7) + … and E_(3) = a_(2) + a_(5) + a_(8) + ..." then " E_(1) = E_(2) = E_(3) = 3^(n-1)

A_(1)A_(2)A_(3)………A_(18) is a regular 18 sided polygon. B is an external point such that A_(1)A_(2)B is an equilateral triangle. If A_(18)A_(1) and A_(1)B are adjacent sides of a regular n sided polygon, then n=

Let a_(1),a_(2),a_(n) be sequence of real numbers with a_(n+1)=a_(n)+sqrt(1+a_(n)^(2)) and a_(0)=0 . Prove that lim_(xtooo)((a_(n))/(2^(n-1)))=2/(pi)