IIT-JEE 1983 | Application of Derivatives Question 111 | Mathematics

IIT-JEE 1983

MCQ (Single Correct Answer)

-0.25

$$AB$$ is a diameter of a circle and $$C$$ is any point on the circumference of the circle. Then

the area of $$\Delta ABC$$ is maximum when it is isosceles

the area of $$\Delta ABC$$ is minimum when it is isosceles

the perimeter of $$\Delta ABC$$ is minimum when it is isosceles

none of these

IIT-JEE 1983

MCQ (Single Correct Answer)

-0.25

If $$a+b+c=0$$, then the quadratic equation $$3a{x^2} + 2bx + c = 0$$ has

at least one root in $$\left[ {0,1} \right]$$

one root in $$\left[ {2,3} \right]$$ and the other in $$\left[ {-2,-1} \right]$$

imaginary roots

none of these

JEE Advanced Subjects