Area Under the Curve

JEE Main Mathematics · 9 questions

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• Let f:(1, ∞) → R be a function defined as f(x)=(x-1)/(x+1). Let f^i+1(x)=f(f^i(x)), i=1,2, …, 25, where f^1(x)=f(x). If…20268 April, Shift 2 · Q18
• The area of the region {(x, y): x^2-8 x ≤ y ≤-x} is:20266 April, Shift 2 · Q19
• The area of the region {(x, y): 0 ≤ y ≤ 6-x, y^2 ≥ 4 x-3, x ≥ 0} is:20266 April, Shift 1 · Q19
• Let e be the base of natural logarithm and let f:{1,2,3,4} →{1, e, e^2, e^3} and g:{1, e, e^2, e^3} →{1, 1/2, 1/3, 1/4} be two…20266 April, Shift 1 · Q20
• Let f: R → R be a function such that f(x)+3 f((π)/2-x)= sin x, x ∈ R. Let the maximum value of f on R be α. If the area of the…20265 April, Shift 2 · Q24
• The area of the region R={(x, y): x y ≤ 27,1 ≤ y ≤ x^2} is equal to:20265 April, Shift 1 · Q16
• The area of the region bounded by the curves x+3 y^2=0 and x+4 y^2=1 is equal to:20264 April, Shift 2 · Q18
• The area of the region {(x, y): y ≤ π-|x|, y ≤|x sin x|, y ≥ 0} is:20264 April, Shift 1 · Q18
• If the area of the region bounded by 16 x^2-9 y^2=144 and 8 x-3 y=24 is A, then 3( A+6 log_e(3)) is equal to ____.20262 April, Shift 2 · Q24