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 figure below such that A’P’ = AP, B’P’ = BP, C’Q’ = CP, D’Q’ = DP and ∠A’P’B’ = 90° = ∠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.

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 figure below such that A’P’ = AP, B’P’ = BP, C’Q’ = CP, D’Q’ = DP and ∠A’P’B’ = 90° = ∠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. Correct Answer 1, 2 and 4 only

∠PAC = ∠BDP

⇒ APC ∼ DPB

⇒ AP/DP = CP/BP

⇒ AP × BP = CP × DP            ---- 1

In triangle A’P’B’ and C’Q’D’ to be similar

A’P’/C’Q’ = B’P’/Q’D’

AP/CP = BP/DP

But AP/CP = DP/BP

⇒ A’P’B’ and C’Q’D’ are not similar

If they are not similar, they are not congruent too

Area of triangle A’P’B’ = ½ × AP × BP

Area of triangle C’Q’D’ = ½ × CP × DP

From equation 1, both the areas are equal

Product of the sides are same, but that need not make perimeter same.

That requires AP = CP and BP = DP

∴ Statement 1, 2 and 4 are wrong