Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is:
Next 10 Questions — JEE Main 2019 (10 April Morning Shift)
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If ${\Delta _1} = \left| {\matrix{
x & {\sin \theta } & {\cos \theta } \cr
{ - \sin \theta } & { - …
Topic: JEE Main 2019 (10 April Morning Shift)
If the length of the perpendicular from the point $(\beta,0,\beta)\ (\beta\ne0)$ to the line, $\dfrac{x}{1}=\dfrac{y-1}…
Topic: JEE Main 2019 (10 April Morning Shift)
If $y=y(x)$ is the solution of the differential equation $\dfrac{dy}{dx}=(\tan x-y)\sec^{2}x,\ x\in\left(-\dfrac{\pi}{2…
Topic: JEE Main 2019 (10 April Morning Shift)
If $a>0$ and $z=\dfrac{(1+i)^{2}}{,a-i,}$ has magnitude $\sqrt{\dfrac{2}{5}}$, then $\overline{z}$ is equal to:
Topic: JEE Main 2019 (10 April Morning Shift)
If $\alpha$ and $\beta$ are the roots of the quadratic equation $x^{2}+x\sin\theta-2\sin\theta=0,\ \theta\in\left(0,\df…
Topic: JEE Main 2019 (10 April Morning Shift)
All the pairs $(x,y)$ that satisfy the inequality
$2\sqrt{\sin^{2}x-2\sin x+5}\cdot\dfrac{1}{4\sin^{2}y}\le 1$
also sat…
Topic: JEE Main 2019 (10 April Morning Shift)
The region represented by $|x-y|\le 2$ and $|x+y|\le 2$ is bounded by a:
Topic: JEE Main 2019 (10 April Morning Shift)
Let $f(x)=e^{x}-x$ and $g(x)=x^{2}-x,\ \forall x\in\mathbb{R}$. Then the set of all $x\in\mathbb{R}$ where the function…
Topic: JEE Main 2019 (10 April Morning Shift)
If $a_{1},a_{2},a_{3},\ldots,a_{n}$ are in A.P. and $a_{1}+a_{4}+a_{7}+\cdots+a_{16}=114$, then $a_{1}+a_{6}+a_{11}+a_{…
Topic: JEE Main 2019 (10 April Morning Shift)
The number of $6$-digit numbers that can be formed using the digits $0,1,2,5,7,9$ which are divisible by $11$ and no di…
Topic: JEE Main 2019 (10 April Morning Shift)
