Javascript is required
1
JEE Main 2021 (Online) 16th March Morning Shift
Numerical  +4  -1
Let the curve y = y(x) be the solution of the differential equation, $${{dy} \over {dx}}$$ = 2(x + 1). If the numerical value of area bounded by the curve y = y(x) and x-axis is $${{4\sqrt 8 } \over 3}$$, then the value of y(1) is equal to _________.
Your input ____
2
JEE Main 2021 (Online) 16th March Morning Shift
Numerical  +4  -1
Let f : R $$ \to $$ R be a continuous function such that f(x) + f(x + 1) = 2, for all x$$\in$$R.

If $${I_1} = \int\limits_0^8 {f(x)dx} $$ and $${I_2} = \int\limits_{ - 1}^3 {f(x)dx} $$, then the value of I1 + 2I2 is equal to ____________.
Your input ____
3
JEE Main 2021 (Online) 16th March Morning Shift
Numerical  +4  -1
If the normal to the curve y(x) = $$\int\limits_0^x {(2{t^2} - 15t + 10)dt} $$ at a point (a, b) is parallel to the line x + 3y = $$-$$5, a > 1, then the value of | a + 6b | is equal to ___________.
Your input ____
4
JEE Main 2021 (Online) 26th February Evening Shift
Numerical  +4  -1
Let the normals at all the points on a given curve pass through a fixed point (a, b). If the curve passes through (3, $$-$$3) and (4, $$-$$2$$\sqrt 2 $$), and given that a $$-$$ 2$$\sqrt 2 $$ b = 3,
then (a2 + b2 + ab) is equal to __________.
Your input ____
JEE Main Subjects
© 2023 ExamGOAL