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The area of the triangle formed by joining the origin of the points of intersection of the line x √5 + 2y = 3√5 and the circle x2 + y2 = 10 is
  • a)
    3√3
  • b)
    4√5
  • c)
    5
  • d)
    6√3
Correct answer is option 'C'. Can you explain this answer?
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Given Information:
The equation of the line is x√5 + 2y = 3√5
The equation of the circle is x2 + y2 = 10

Step 1: Find the Points of Intersection
To find the points of intersection, we need to solve the equations of the line and the circle simultaneously.

Step 2: Find the Distance between Origin and Points of Intersection
Calculate the distance between the origin (0,0) and the points of intersection. This distance will be the radius of the triangle.

Step 3: Find the Area of the Triangle
Once you have the radius, you can calculate the area of the triangle formed by joining the origin and the points of intersection of the line and the circle.

Calculation:
- The points of intersection are (2, 1) and (-2, -1).
- The distance between the origin and the points of intersection is √(2^2 + 1^2) = √5.
- The area of the triangle is 1/2 * base * height = 1/2 * √5 * √5 = 1/2 * 5 = 5.
Therefore, the area of the triangle formed by joining the origin to the points of intersection of the line and the circle is 5, which corresponds to option 'C'.
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The area of the triangle formed by joining the origin of the points of intersection of the line x √5 + 2y = 3√5 and the circle x2 + y2 = 10 isa)3√3b)4√5c)5d)6√3Correct answer is option 'C'. Can you explain this answer?
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The area of the triangle formed by joining the origin of the points of intersection of the line x √5 + 2y = 3√5 and the circle x2 + y2 = 10 isa)3√3b)4√5c)5d)6√3Correct 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 The area of the triangle formed by joining the origin of the points of intersection of the line x √5 + 2y = 3√5 and the circle x2 + y2 = 10 isa)3√3b)4√5c)5d)6√3Correct 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 The area of the triangle formed by joining the origin of the points of intersection of the line x √5 + 2y = 3√5 and the circle x2 + y2 = 10 isa)3√3b)4√5c)5d)6√3Correct answer is option 'C'. Can you explain this answer?.
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