Area Under Curve questions
273 published questions with worked solutions.
- Let the line x = -1 divide the area of the region (x, y) : 1 + x^2 y 3 - x in the ratio m : n, (m, n) = 1. Then m + n is equal to
- Let the area of the region bounded by the curve y = x, x , lines x=0, x= 3 2 , and the x-axis be A. Then, A+A^2 is equal to _____
- Let f( ) denote the area of the region in the first quadrant bounded by x=0, x=1, y^2=x and y = | x - 5|-|1- x|+ x^2. Then...
- The area of the region R = (x,y): xy 8, 1 y x^2, x 0 is
- Let P_1: y=4x^2 and P_2: y=x^2+27 be two parabolas. If the area of the bounded region enclosed between P_1 and P_2 is six times...
- Let ƒ : R→R be a twice differentiable function such that ƒ(x + y) = ƒ(x) ƒ(y) for all x, y ∈ R. If ƒ'(0) = 4a and ƒ satisfies...
- Let the function f(x) = cases -3ax^2-2, & x<1 a^2+bx & x 1 cases Be differentiable for all x ∈ R, where a > 1, b ∈R. If the area...
- If the area of the region (x, y) : –1 x 1, 0 y a + e^ |x| –e^ –x , a > 0 is e^2 + 8e + 1 e , then the value of a is :
- The area of the region (x, y) : x^2 + 4x + 2 y |x + 2| is equal to
- The area of the region bounded by the curves x(1+y^2)=1 and y^2=2x is :
- Let the area of the region (x, y) : 2y x^2 + 3, y + |x| 3, y |x - 1| be A. Then 6A is equal to :
- Let the area enclosed between the curves |y| = 1 - x^2 and x^2 + y^2 = 1 be . If 9 = + ; , are integers, then the value of | - |...
- If the area of the region (x, y) : |4-x^2| y x^2, y 4, x 0 is ( 80 2 - ), α, β ∈ N, then α + β is equal to ______.
- The area of the region (x, y) : |x-y| y 4 x is
- If the area of the region (x, y) : 1 + x^2 y min x + 7, 11 – 3x is A, then 3A is equal to
- The area of the region described by A = (x, y) : x^2 + y^2 1 and y^2 1 - x is:
- The area (in sq. units) of the region (x, y) : y^2 2x and x^2 + y^2 4x, x ≥ 0, y ≥ 0 is -
- The area (in sq. units) of the region (x, y) : x ≥ 0, x + y ≤ 3, x^2 4y and y 1 + x is :
- Let g(x) = x^2, f(x) = x , and , ( < ) be the roots of the quadratic equation 18x^2 - 9 x + ^2 = 0. Then the area (in sq. units)...
- If the area of the region bounded by the curves, y = x^2, y = 1 x and the lines y = 0 and x = t (t > 1) is 1 sq. unit, then t is...
Page 1Next
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and IntegrationChemical Kinetics