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Persistent nucellus in the seed is known as

The major product of the following reaction is :

Match the following lists:
List-$I$List-$II$
$A$. Ethane$1$. $2$ $sp$ carbons
$B$. Ethylene$2$. $6$ $sp^2$ carbons
$C$. Acetylene$3$. $2$ $sp^3$ carbons
$D$. Benzene$4$. $2$ $sp^2$ carbons
$5$. $1$ $sp$ and $1$ $sp^2$ carbons

The point of intersection of the lines $l_1: r(t)=(i-6j+2k)+t(i+2j+k)$ and $l_2: R(u)=(4j+k)+u(2i+j+2k)$ is

Let $\alpha, \beta$ be such that $\pi < \alpha - \beta < 3\pi$. If $\sin \alpha + \sin \beta = -\frac{21}{65}$ and $\cos \alpha + \cos \beta = -\frac{27}{65}$,then the value of $\cos \frac{\alpha - \beta}{2}$ is

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