IIT JEE Advanced 2005 Maths Question Paper MCQ (Single Correct Answer) Marks: +2, -0.5 Question: The differential equation determines a family of circles with Option A : Variable radii and a fixed center at (0, 1) Option B : Variable radii and a fixed center at (0, -1) Option C : Fixed radius 1 and variable centers along
Read MoreIIT JEE Advanced 2008 Maths Question Paper MCQ (Single Correct Answer) Marks: +3, -1 Question: Let a and b be non-zero real numbers. Then, the equation (ax2 + by2 + c)(x2 - 5xy + y2) = 0 represents Option A : Four straight lines, when c = 0 and a, b are of the same
Read MoreIIT JEE Advanced 2005 Maths Question Paper 1 Online MCQ (Single Correct Answer) Marks: +2, -0.5 Question: The solution of primitive integral equation (x2 + y2)dy = xydx is y = y(x). If y(1) = 1 and y(x0) = e, then x0 is equal to Option A : √2(e2 - 1) Option B : √2(e2 +
Read MoreJEE Advanced 2005 Screening Maths Question Paper MCQ (Single Correct Answer) Marks: +2, -0.5 Question: For the primitive integral equation ydx + y2dy = xdy, x ∈ R, y > 0, y = y(x), y(1) = 1, then y(-3) is Option A : 3 Option B : 2 Option C : 1 Option D : 5 Solution: This question is
Read MoreJEE Advanced 2014 Maths Question Paper 2 Online MCQ (Single Correct Answer) Marks: +3, -1 Question: The function y = f(x) is the solution of the differential equation in (-1, 1) satisfying f(0) = 0. Then, find the value of Option A : π/3 - √3/2 Option B : π/3 - √3/4 Option C : π/6 - √3/2 Option
Read MoreIIT JEE Advanced 2005 Screening Maths Question MCQ (Single Correct Answer) Marks: +2, -0.5 Question: If y = y(x) and it follows the relation xcos(y) + ycos(x) = π Then, find the value of y''(0) Option A : 1 Option B : -1 Option C : π - 1 Option D : -π Solution: This question is asked in IIT JEE
Read MoreJEE Advanced 2013 Maths Question Paper 1 Online MCQ (Single Correct Answer) Marks: +4, -1 Question: A curve passes through the point (1, π/6). Let the slope of the curve at each point (x, y) be Then, the equation of the curve is Option A : sin(y/x) = log(x) + 1/2 Option B : cosec(y/x) = log(x)
Read MoreJEE Advanced 2017 Maths Question Paper 2 Online MCQ (Single Correct Answer) Marks: +3, -1 Question: If y = y(x) satisfies the differential equation dx. x > 0 and y(0) = √7, then find the value of y(256). Option A : 16 Option B : 3 Option C : 9 Option D : 80 Solution: This question is asked in JEE
Read MoreJEE Advanced 2023 Maths Question Paper 2 Online MCQ (Single Correct Answer) Marks: +3, -1 Question: Let f : [1,∞) → R be differentiable function such that f(1) = 1/3 and . Let e denote the base of the natural logarithm, then find the value of f(e). Option A : (e2 + 4)/3 Option B : (loge4
Read MoreJEE Advanced 2024 Maths Question Paper 1 Online MCQ (Single Correct Answer) Marks: +3, -1 Question: Let f(x) be a continuously differentiable function on the interval (0, ∞) such that f(1) = 2 and for each x > 0. Then for all x > 0, f(x) is equal to Option A : 31/11x - 9x10/11 Option B
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