The value of ( `1/ 2` ÷ `3/ 5` ) is equal to

If A=[(3,-2),(7,-5)] , then the value of |-3A^(2019)+A^(2020)| is equal to

If x= 2+5i (where i^2 =-1) and 2(1/(1!9!)+1/(3!7!))+1/(5!5!)=2^a/(b!) , then the value of (x^3 - 5x^2 + 33x - 19) is equal to

If x= 2+5i (where i^2 =-1) and 2(1/(1!9!)+1/(3!7!))+1/(5!5!)=2^a/(b!) , then the value of (x^3 - 5x^2 + 33x - 19) is equal to

The coefficient of the (2m+1)^("th") and (4m+5)^("th") terms in the expansion of (1+x)^(100) are equal, then the value of (m)/(2) is equal to

(v) 1 2/3 x 1 3/5 is equal to

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

The value of (5.86 xx 3.96)/(2.86) will be equal to

Let P(1, 2, 3) be a point in space and Q be a point on the line (x-1)/(2)=(y-3)/(5)=(z-1)/(3) such that PQ is parallel to 5x-4y+3z=1 . If the length of PQ is equal to k units, then the value of k^(2) is equal to

If f(x)=|x-1|+|x-3| ,then value of f'(2) is equal to

If the value of lim_(xrarr(pi)/(6))(cos(x+(pi)/(3)))/((1-sqrt3tanx)) is equal to lambda , then the value of 120lambda^(2) is equal to