JEE Main 2002 Mathematics — Questions with Solutions

3 λ c+2 µ(a × b)=0 then

If |a|=5,|b|=4,|c|=3 thus what will be the value of |a · b+b . c+c . a|, given that a+b+c=0

a=3 i-5 j and b=6 i+3 j are two vectors and c is a vector such that c=a × b then |a|:|b|:|c|

If a, b, c are vectors such that |a b c|=4 then

The sum of two forces is 18 N and resultant whose direction is at right angles to the smaller force is 12 N. The magnit…

If a, b, c are vectors such that a+b+c=0 and |a|=7,|b|=5,|c|=3 then angle between vector b and c is

If |a|=4,|b|=2 and the angle between a and b is π / 6 then (a × b)²=2 is equal to

If a × b=b × c=c × a then a+b+c=

Question

Let f(x)=4 and fⁱme(x)=4. Then Limx → ₂ (x f(2)-2 f(x))/(x-2) is given by