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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.
  • a)
    2 and 3 only
  • b)
    1 and 3 only
  • c)
    1, 2 and 4 only
  • d)
    1, 2, 3 and 4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Suppose chords AB and CD of a circle intersect at a point P inside the...

In ΔAPC and ΔDBC
∠APC = ∠DPB [∵ vertically opposite angle]
∠PAC = ∠BDP [∵ Angle subtended by chord BC at every point on circle is same]
⇒ 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 [∵ Given A’P’ = AP, B’P’ = BP, C’Q’ = CP, D’Q’ = DP]
But AP/CP = DP/BP [Proved]
⇒ 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
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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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer?
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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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about 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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer?.
Solutions for 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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence. Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of 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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer?, a detailed solution for 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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 congruent2. 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.a)2 and 3 onlyb)1 and 3 onlyc)1, 2 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Defence tests.
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