1
JEE Main 2021 (Online) 25th February Morning Shift
Numerical
+4
-1
Let f(x) be a polynomial of degree 6 in x, in which the coefficient of x6 is unity and it has extrema at x = $$-$$1 and x = 1. If $$\mathop {\lim }\limits_{x \to 0} {{f(x)} \over {{x^3}}} = 1$$, then $$5.f(2)$$ is equal to _________.
2
JEE Main 2021 (Online) 24th February Morning Shift
Numerical
+4
-1
The minimum value of $$\alpha$$ for which the
equation $${4 \over {\sin x}} + {1 \over {1 - \sin x}} = \alpha$$ has at least one solution in $$\left( {0,{\pi \over 2}} \right)$$ is .......
3
JEE Main 2020 (Online) 5th September Evening Slot
Numerical
+4
-0
Out of Syllabus
If the lines x + y = a and x – y = b touch the
curve y = x2 – 3x + 2 at the points where the curve intersects the x-axis, then $${a \over b}$$ is equal to _______.
4
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
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 = _______.
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