Consider the following statements: (1) If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of exterior angles of a regular polygon of m sides is different from the sum of exterior angles of regular polygon of n sides (2) Let m, n be integers such that m > n ≥ 3. Then the sum of the interior angles of regular polygon of sides is greater than the sum of interior angles of a regular polygon of n sides, and their sum is (m + n)π/2 Which of the above statements is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

LohaHridoy

6 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : Neither 1 nor 2

Statement I:

The sum of exterior angles of any polygon is always 360°

⇒ Statement I is false

Statement II:

Sum of interior angles of m sides polygon = (m – 2) × 180°

Sum of interior angles of m sides polygon = (n – 2) × 180°

⇒ Their sum = (m + n – 4) × 180°

⇒ Statement II is false

∴ Neither statement I nor II is true.

6 views Answered 2022-09-04 04:29

Related Questions

Consider five people – Mita, Ganga, Rekha, Lakshmi and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true 1. Lakshmi is taller than Rekha 2. Rekha is shorter than Mita 3. Rekha is taller than Sana 4. Sana is shorter than Ganga?

1 Answers 5 Views

Consider the following statements about the Scheduled Castes and the Scheduled Tribes under the provisions of the Constitution of India : 1. State can make any special provision relating to their admission to the Government educational institutions. 2. State can make any special provision relating to their admission to the private educational institutions aided by the State. 3. State can make any special provision relating to their admission to the private educational institutions not aided by the State. 4. State can make any special provision relating to their admission to the minority educational institutions as described in Article 30. Which of the statements given above are correct?

1 Answers 5 Views

Consider the following statements in respect of two different non-zero integers p and q: I. For (p + q) to be less than (p - q), q must be negative II. For (p + q) to be greater than (p - q), both p and q must be positive Which of the above statements is/are correct?

1 Answers 4 Views

Consider a circle with centre at C. Let OP, OQ denote respectively the tangents to the circle drawn from a point O outside the circle. Let R be a point on OP and S be a point on OQ such that OR × SQ = OS × RP. Which of the following statement(s) is/are correct (1) If X is the circle with centre at O and radius OR, and Y is the circle with centre at O and radius OS, then X = Y (2) ∠POC + ∠QCO = 90° Select the correct answer using the code given below.?

1 Answers 6 Views

Consider a circle with centre at O and radius 7 cm. Let QR be the chord of length 2 cm and let P be the midpoint of QR. Let CD be another chord of this circle passing through P such that ∠CPQ is acute. If M is the midpoint of CD and MP = √24 cm, then which of the following statements are correct (1) ∠QPD = 135° (2) If CP = m cm and PD = n cm, then m and n are the roots of the quadratic equation x2 – 10x + 1 = 0 (3) The ratio of triangle OPR to the area of triangle OMP is 1 ∶ 2√2 Select the correct answer using the code given below.?

1 Answers 7 Views

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: A positive number is such that adding its square root to itself gives another number equal to twice the first number. Find number Quantity B: A number which is greater than 2 is such that adding square of that number to itself gives another number equal to 3 less than 5 times of the given number. Find number?

1 Answers 4 Views

Consider the following statements in respect of positive odd integers x and y: 1. x2 + y2 is even integer. 2. x2 + y2 is divisible by 4. Which of the above statements is/are correct?

1 Answers 4 Views

Given that the angles of a polygon are all equal and each angle is a right angle. Statement 1: The quadrilateral has exactly four sides Statement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles. Which one of the following is correct in respect of the above statements?

1 Answers 6 Views

Let G be a simple undirected graph. Let TD be a depth first search tree of G. Let TB be a breadth first search tree of G. Consider the following statements. (I) No edge of G is a cross edge with respect to TD. (A cross edge in G is between two nodes neither of which is an ancestor of the other in TD .) (II) For every edge (u, v) of if u is at depth i and v is at depth j in TB , then | − | = 1. Which of the statements above must necessarily be true?

1 Answers 5 Views

In the following question the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the four combinations is correct.. 1. Industrially raised chicken can be abnormally forceful, and are regularly kept in obscured sheds to avoid them pecking at each other. P. The feathered creatures invested much a greater amount of their energy—up to a third—pecking at the lifeless things in the pens, as opposed to fowls in different pens which invested a considerable measure of time assaulting others. Q. In low light conditions, they carry on less pugnaciously, yet are more inclined to ophthalmic scatters and respiratory issues. R. In an examination, forceful head-pecking was everything except killed among fowls in the improved condition. S. Modifying the birds’ condition, by adding parcels of wood-shavings to their pens, can work wonders. 6. Bundles could lessen forcefulness and decrease wounds; they may even enhance efficiency, since a glad chicken is a profitable chicken.?

1 Answers 4 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)