JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT

The incorrect statement from the following for borazine is :

Match List - I with List - II

Choose the correct answer from the options given below:

Let the tangent and normal at the point \((3 \sqrt{3}, 1)\) on the ellipse \(\frac{x^{2}}{36}+\frac{y^{2}}{4}=1\) meet the \(y\)-axis at the points \(A\) and \(B\) respectively. Let the circle \(C\) be drawn taking \(A B\) as a diameter and the line \(x=2 \sqrt{5}\) intersect \(C\) at the points \(P\) and \(Q\). If the tangents at the points \(P\) and \(Q\) on the circle intersect at the point \((\alpha, \beta)\), then \(\alpha^{2}-\beta^{2}\) is equal to :

Which one of the following is most likely a mismatch ?

From the given transfer characteristic of a transistor in \(\mathrm{CE}\) configuration, the value of power gain of this configuration is \(10^{x}\), for \(\mathrm{R}_{\mathrm{B}}=10 ~\mathrm{k} \Omega\), and \(\mathrm{R}_{\mathrm{C}}=1 ~\mathrm{k} \Omega\). The value of \(x\) is __________.

The distance of the point \((-1,2,3)\) from the plane \(\vec{r} \cdot(\hat{i}-2 \hat{j}+3 \hat{k})=10\) parallel to the line of the shortest distance between the lines \(\vec{r}=(\hat{i}-\hat{j})+\lambda(2 \hat{i}+\hat{k})\) and \(\vec{r}=(2 \hat{i}-\hat{j})+\mu(\hat{i}-\hat{j}+\hat{k})\) is :