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Let T be the triangle formed by the straight line 3x + 5y – 45 = 0 and the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is
(2019)
- a)8
- b)9
- c)7
- d)6
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Let T be the triangle formed by the straight line 3x + 5y – 45 =...
Clearly, the triangle will be right angled triangle and its hypotenuse would be the diameter of its circumcircle.
Given equation, 3x + 5y – 45 = 0
When y = 0, Then x = 15
When x = 0, Then y = 9
Hence, A(15, 0) and B(0, 9) and O(0, 0) are the vertices of the right triangle formed whose hypotonuse is the diameter of the ΔOAB.
∴ Now, Radius(L) =
Hence, the integer closest to L = 9.
Given equation, 3x + 5y – 45 = 0
When y = 0, Then x = 15
When x = 0, Then y = 9
Hence, A(15, 0) and B(0, 9) and O(0, 0) are the vertices of the right triangle formed whose hypotonuse is the diameter of the ΔOAB.
∴ Now, Radius(L) =
Hence, the integer closest to L = 9.
Most Upvoted Answer
Let T be the triangle formed by the straight line 3x + 5y – 45 =...
It seems that you provided an incomplete equation for the straight line. Could you please provide the full equation so that I can help you with your question?
Community Answer
Let T be the triangle formed by the straight line 3x + 5y – 45 =...
Clearly, the triangle will be right angled triangle and its hypotenuse would be the diameter of its circumcircle.
Given equation, 3x + 5y – 45 = 0
When y = 0, Then x = 15
When x = 0, Then y = 9
Hence, A(15, 0) and B(0, 9) and O(0, 0) are the vertices of the right triangle formed whose hypotonuse is the diameter of the ΔOAB.
∴ Now, Radius(L) =
Hence, the integer closest to L = 9.
Given equation, 3x + 5y – 45 = 0
When y = 0, Then x = 15
When x = 0, Then y = 9
Hence, A(15, 0) and B(0, 9) and O(0, 0) are the vertices of the right triangle formed whose hypotonuse is the diameter of the ΔOAB.
∴ Now, Radius(L) =
Hence, the integer closest to L = 9.
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Let T be the triangle formed by the straight line 3x + 5y – 45 = 0 and the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is(2019)a)8b)9c)7d)6Correct answer is option 'B'. Can you explain this answer?
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