The differential equation of all parabolas having vertex at the origin and axis along positive Y-axis is

If the vectors $$2 \hat{i}-\hat{j}-\hat{k} ; \hat{i}+2 \hat{j}-3 \hat{k}$$ and $$3 \hat{i}+\lambda \hat{j}+5 \hat{k}$$ are coplanar, then the value of $$\lambda$$ is

$$\lim _\limits{x \rightarrow 2}(x-1)^{ \frac{1}{3 x-6}}=$$

Given $$\mathrm{p}$$ : A man is a judge, $$\mathrm{q}$$ : A man is honest

If $$\mathrm{S} 1$$ : If a man is a judge, then he is honest

S2 : If a man is a judge, then he is not honest

S3 : A man is not a judge or he is honest Then

S4 : A man is a judge and he is honest