ABC is a triangle in which D is the midpoint of BC and E is the midpoint of AD. Which of the following statements is/are correct

1. The area of triangle ABC is equal to four times the area of triangle BED.
2. The area of triangle ADC is twice the area of triangle BED.

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A person travels 7 km eastwards and then turns right and travels 3 km and further turns right and travels 13 km. What is the shortest distance of the present position of the person from his starting point

If a transversal intersects four parallel straight lines, then the number of distinct values of the angles formed will be

In a triangle PQR, point X is on PQ and point Y is on PR such that XP = 1.5 units, XQ = 6 units, PY = 2 units and YR = 8 units. Which of the following are correct

1. QR = 5XY
2. QR is parallel to XY.
3. Triangle PYX is similar to triangle PRQ.

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Consider the following statements :

1. There exists a regular polygon whose exterior angle is 70⁰.
2. Let n≥5. Then the exterior angle of any regular polygon of n sides is acute.

Which of the above statements is/are correct

Consider the following statements :

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

Which of the above statements is/are correct