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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.
Reason(R): Pedal triangle is the ex-central triangle of the given triangle.
Assertion(A): The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.
Reason(R): Pedal triangle is the ex-central triangle of the given triangle.
- a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.
- b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion.
- c)Assertion is true but Reason is false.
- d)Assertion is false but Reason is true.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the following question, a Statement of Assertion (A) is given follo...
Explanation:
Assertion:
The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.
Reason:
Pedal triangle is the ex-central triangle of the given triangle.
The assertion is true because the orthocentre of a triangle is the point of intersection of its altitudes, and the incentre of a triangle is the point of intersection of its angle bisectors. The pedal triangle is constructed by drawing perpendiculars from the vertices of the original triangle to the sides of a reference triangle. The incentre of the pedal triangle coincides with the orthocentre of the original triangle.
The reason is false because the pedal triangle is not the ex-central triangle of the given triangle. The ex-central triangle is constructed by drawing lines parallel to the sides of the given triangle through the excenters.
Therefore, the correct answer is option 'C' - Assertion is true but Reason is false.
Assertion:
The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.
Reason:
Pedal triangle is the ex-central triangle of the given triangle.
The assertion is true because the orthocentre of a triangle is the point of intersection of its altitudes, and the incentre of a triangle is the point of intersection of its angle bisectors. The pedal triangle is constructed by drawing perpendiculars from the vertices of the original triangle to the sides of a reference triangle. The incentre of the pedal triangle coincides with the orthocentre of the original triangle.
The reason is false because the pedal triangle is not the ex-central triangle of the given triangle. The ex-central triangle is constructed by drawing lines parallel to the sides of the given triangle through the excenters.
Therefore, the correct answer is option 'C' - Assertion is true but Reason is false.
Community Answer
In the following question, a Statement of Assertion (A) is given follo...
A pedal triangle is obtained by projecting a point onto the sides of a triangle. More specifically, consider a triangle ABC, and a point P that is not one of the vertices A, B, C. Drop perpendiculars from P to the three sides of the triangle. The same is done for obtaining the orthocentre. Thus, orthocentre of the original triangle and the incentre of the pedal triangle and are coincident.
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.Reason(R): Pedal triangle is the ex-central triangle of the given triangle.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'C'. Can you explain this answer?
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.Reason(R): Pedal triangle is the ex-central triangle of the given triangle.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.Reason(R): Pedal triangle is the ex-central triangle of the given triangle.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.Reason(R): Pedal triangle is the ex-central triangle of the given triangle.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'C'. Can you explain this answer?.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.Reason(R): Pedal triangle is the ex-central triangle of the given triangle.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.Reason(R): Pedal triangle is the ex-central triangle of the given triangle.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): The orthocentre of a given triangle is coincident with the incentre of the pedal triangle of the given triangle.Reason(R): Pedal triangle is the ex-central triangle of the given triangle.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'C'. Can you explain this answer?.
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