class 12

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JEE Main

An unknown alcohol is treated with the ''Lucas reagent'' to determine whether the alcohol is primary, secondary or tertiary. Which alcohol reacts fastest and by what mechanism:

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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

If the lines $1x−2 =1y−3 =−kx−4 $ and $kx−1 =2y−4 =1x−5 $are coplanar, then k can have

Two short bar magnets of length 1 cm each have magnetic moments $1.20Am_{2}and1.00Am_{2}$ respectively. They are placed on a horizontal table parallel to each other with their N poles pointing towards the South. They have a common magnetic equator and are separated by a distance of 20.0 cm. The value of the resultant horizontal magnetic induction at the mid - point O of the line joining their centres is close to (Horizontal component of earths magnetic induction is $3.6×10_{−5}Wb/m_{2})$

The expression $1−cotAtanA +1−tanAcotA $can be written as

Let $f_{K}(x)=k1 (s∈_{k}x+cos_{k}x)$where $x∈R$and $k≥1$. Then $f_{4}(x)−f_{6}(x)$equals

The real number k for which the equation, $2x_{3}+3x+k=0$has two distinct real roots in [0, 1]

If $(10)_{9}+2(11)_{1}(10)_{8}+3(11)_{2}(10)_{7}+¨+10(11)_{9}=k(10)_{9}$, then k is equal to

Let f(x) be a polynomial of degree four having extreme values at $x=1$and $x=2$. If $(lim)_{x0}[1+x_{2}f(x) ]=3$, then f(2) is equal to :