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=0and 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−5are coplanar, then k can have
Two short bar magnets of length 1 cm each have magnetic moments 1.20Am2and1.00Am2 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 3.6×10−5Wb/m2)
The expression 1−cotAtanA+1−tanAcotAcan be written as
Let fK(x)=k1(s∈kx+coskx)where x∈Rand k≥1. Then f4(x)−f6(x)equals
The real number k for which the equation, 2x3+3x+k=0has 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=1and x=2. If (lim)x0[1+x2f(x)]=3, then f(2) is equal to :