1
JEE Main 2020 (Online) 4th September Morning Slot
Numerical
+4
-0
Change Language
The probability of a man hitting a target is $${1 \over {10}}$$. The least number of shots required, so that the probability of his hitting the target at least once is greater than $${1 \over {4}}$$, is ____________.
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2
JEE Main 2020 (Online) 4th September Morning Slot
Numerical
+4
-0
Change Language
Let $${\left( {2{x^2} + 3x + 4} \right)^{10}} = \sum\limits_{r = 0}^{20} {{a_r}{x^r}} $$

Then $${{{a_7}} \over {{a_{13}}}}$$ is equal to ______.
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3
JEE Main 2020 (Online) 4th September Morning Slot
Numerical
+4
-0
Change Language
If the system of equations
x - 2y + 3z = 9
2x + y + z = b
x - 7y + az = 24,
has infinitely many solutions, then a - b is equal to.........
Your input ____
4
JEE Main 2020 (Online) 4th September Morning Slot
Numerical
+4
-0
Change Language
Suppose a differentiable function f(x) satisfies the identity
f(x+y) = f(x) + f(y) + xy2 + x2y, for all real x and y.
$$\mathop {\lim }\limits_{x \to 0} {{f\left( x \right)} \over x} = 1$$, then f'(3) is equal to ______.
Your input ____
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