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Which of the following compounds will exhibit geometrical isomerism ?

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The distance of the point (1, 0, 2) from the point of intersection of the line $3x−2 =4y+1 =12z−2 $and the plane x y + z = 16, is :

If the vectors $AB=3i^+4k^$ and $AC=5i^−2j^ +4k^$are the sides of a triangle ABC, then the length of the median through A is

A long cylindrical shell carries positive surface charge $σ$ in the upper half and negative surface charge $−σ$ in the lower half. The electric field lines around the cylinder will look like figure given in : (figure are schematic and not drawn to scale)

Let a, b, c and d be non-zero numbers. If the point of intersection of the lines $4ax+2ay+c=0$and $5bx+2by+d=0$ lies in the fourth quadrant and is equidistant from the two axes then

A compound with molecular mass 180 is acylated with $CH_{3}COCl$ to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is:

If $a∈R$and the equation $−3(x−[x])_{2}+2(x−[x])+a_{2}=0$(where [x] denotes the greatest integer x) has no integral solution, then all possible values of a lie in the interval

Which of the following exists as covalent crystals in the solid state?

The molecular formula of a commercial resin used for exchanging ions in water softening is $C_{8}H_{7}SO_{3}Na$ (Mol. Wt. 206). What would be the maximum uptake of $Ca_{2+}$ ions by the resin when expressed in mole per gram resin ?