AB is a diameter of a circle and C is any point on the circumference of the circle. Then :
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
AB is a diameter of a circle and C is any point on the circumference of the circle. Then :
- the area of ∆ ABC is maximum when it is isosceles
- the area of ∆ ABC is minimum when it is isosceles
- the perimeter of ∆ ABC is minimum when it is isosceles
- none of these
Answer
(A) the area of ∆ ABC is maximum when it is isosceles
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If α + β = 3π then the chord joining the points α and β for the hyperbola x^ 2 a^ 2 - y^ 2 b^ 2 =1 passes…
- The eccentricity of the conic 4(2y – x – 3) 2 – 9 (2x + y – 1) 2 = 80 is
- Minimum radius of circle which is orthogonal with both the circle x 2 + y 2 –12x + 35 =0 and x 2 + y 2 + 4x…
- For a > b > c > 0, the distance between (1, 1) and the point of intersection of the lines ax + by + c = 0 and…
- A line meets the co-ordinate axes in A & B. A circle is circumscribed about the triangle OAB. If d 1 and d 2…
- The number of integer values of m , for which the x -coordinate of the point of intersection of the lines 3 x…
- If θ is the angle between the lines represented by x 2 – 3xy + λy 2 + 3x – 5y + 2 = 0, where λ is a real…
- If the area of the quadrilateral formed by the tangents from the origin to the circle x 2 + y 2 + 6x – 10y +…
More Co-ordinate Geometry questions · Browse all practice questions