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Algebra
Quadratic Equation and Inequalities
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Sequences and Series
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Mathematical Induction and Binomial Theorem
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Matrices and Determinants
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Probability
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Complex Numbers
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Trigonometry
Trigonometric Functions & Equations
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Inverse Trigonometric Functions
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Properties of Triangle
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Coordinate Geometry
Straight Lines and Pair of Straight Lines
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Circle
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Parabola
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Ellipse
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Hyperbola
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Calculus
Functions
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Limits, Continuity and Differentiability
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Differentiation
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Application of Derivatives
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Indefinite Integrals
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Definite Integration
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Application of Integration
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Differential Equations
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1
IIT-JEE 1983
MCQ (Single Correct Answer)
+1
-0.25
$$AB$$ is a diameter of a circle and $$C$$ is any point on the circumference of the circle. Then
A
the area of $$\Delta ABC$$ is maximum when it is isosceles
B
the area of $$\Delta ABC$$ is minimum when it is isosceles
C
the perimeter of $$\Delta ABC$$ is minimum when it is isosceles
D
none of these
2
IIT-JEE 1983
MCQ (Single Correct Answer)
+1
-0.25
If $$a+b+c=0$$, then the quadratic equation $$3a{x^2} + 2bx + c = 0$$ has
A
at least one root in $$\left[ {0,1} \right]$$
B
one root in $$\left[ {2,3} \right]$$ and the other in $$\left[ {-2,-1} \right]$$
C
imaginary roots
D
none of these
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