Home
Class 12
MATHS
Let Tn denote the number of triangles wh...

Let `T_n` denote the number of triangles which can be formed using the vertices of a regular polygon of n sides . If `T_(n+1)-T_n=21` , then n equals :

A

5

B

7

C

6

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions - LEVEL - II|61 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|6 Videos
  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

Similar Questions

Explore conceptually related problems

Let T_n be the number of all possible triangles formed by joining vertices of an n - sided regular polygon . If T_(n+1)-T_n=10 , then the value of n is :

The number of triangles that can be formed with 10 points as vertices n of them being collinear, is 110. Then n is

Consider a polygon of sides 'n' which satisfies the equation 3*^(n)P_(4)=^(n-1)P_(5) . Q. Number of quadrilaterals thatn can be formed using the vertices of a polygon of sides 'n' if exactly 1 side of the quadrilateral in common with side of the n-gon, is

Let n(A) = n, then the number of all relations on A, is

Consider a polygon of sides 'n' which satisfies the equation 3*.^(n)P_(4)=.^(n-1)P_(5) . Q. Number of quadrilaterals that can be made using the vertices of the polygon of sides 'n' if exactly two adjacent sides of the quadrilateral are common to the sides of the n-gon is

The sum of the radii of inscribed and circumscribed circles for an n-sided regular polygon of side 'a' is

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.

IF T_n=5n-2 , then find S_4 .

Let a_(n) denote the number of all n-digit numbers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let b_(n) be the number of such n-digit integers ending with digit 1 and let c_(n) be the number of such n-digit integers ending with digit 0. Which of the following is correct ?

In a sequence, if T_(n+1)=4n+5 , then T_n is: