Let the triangles ABC and DEF be such that ∠ABC = ∠DEF, ∠ACB = ∠DFE and ∠BAC = ∠EDF. Let L be the midpoint of BC and M be the midpoint of EF. Consider the following statements :

Statement I :

Triangles ABL and DEM are similar.

Statement II :

Triangle ALC is congruent to triangle 

DMF even if AC ≠ DF.

Which one of the following is correct in respect of the above statements

If each interior angle of a regular polygon is 140⁰, then the number of vertices of the polygon is equal to 

A rhombus is formed by joining midpoints of the sides of a rectangle in the suitable order. If the area of the rhombus is 2 square units, then the area of the rectangle is

Suppose ABC is a triangle with AB of unit length. D and E are the points lying on AB and AC respectively such that BC and DE are parallel. If the area of triangle ABC is twice the area of triangle ADE, then the length of AD is

Suppose chords AB and CD of a circle intersect at a point P inside the circle. Two right-angled triangles A'P'B' and C'Q'D' are formed as shown in the figures below such that A'P' = AP, B'P' = BP, C'Q' = CP, D'Q' = DP and ∠A'P'B' = 90⁰ = ∠C'Q'D' :

Which of the following statements are not correct

1. A'P'B' and C'Q'D' are similar triangles, but need not be congruent.
2. A'P'B' and C'Q'D' are congruent triangles.
3. A'P'B' and C'Q'D' are triangles of same area.
4. A'P'B' and C'Q'D' are triangles of same perimeter.

Select the correct answer using the code given below.

Two poles are placed at P and Q on either side of a road such that the line joining P and Q is perpendicular to the length of the road. A person moves x metre away from P parallel to the road and places another pole at R. Then the person moves further x metre in the same direction and turns and moves a distance y metre away from the road perpendicularly, where he finds himself, Q and R on the same line. The distance between P and Q (i.e., the width of the road) in metre is