JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y = x2–1 below the x-axis, is :
- A
- B
- C
- D
More from Application of Derivatives
- If the point P on the curve, 4x2 + 5y2 = 20 is farthest from the point Q(0, -4), then PQ2 is equal to:2020 · MCQ
- If x = 1 is a critical point of the function f(x) = (3x2 + ax – 2 – a)ex , then :2020 · MCQ
- The position of a moving car at time t is given by f(t) = at2 + bt + c, t > 0, where a, b and c are real numbers greater than 1. Then the average speed of the car over the time interval [t1 , t2 ] is attained at the point :2020 · MCQ
- The set of all real values of for which the function has exactly one maxima and exactly one…2020 · MCQ
- Let ƒ(x) be a polynomial of degree 5 such that x = ±1 are its critical points. If , then which one of the following is not true?2020 · MCQ
- Let ƒ(x) = xcos–1(–sin|x|), , then which of the following is true?2020 · MCQ
- Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x) has a local minima at x = .2020 · Numerical
- A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness the melts at a rate of 50 cm3/min. When the thickness of ice is 5 cm, then the rate (in cm/min.) at which of the thickness of ice decreases, is :2020 · MCQ