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IGNOU MST-11 (January 2026 – December 2026) Assignment Questions
IGNOU MST-11 (January 2025 – December 2025) Assignment Questions
1. Solve the following problems.
(a) If f is a function from set X to a set Y then is it possible f (3) = 5, (3) = −5?
where 3∈X and 5, −5∈Y
(b) In R we have a built-in data set “trees”. A screenshot of the last four rows together with the R code to obtain it is given as follows. To get more detail about this data set you can run? trees command on R console.
Note that all the three variables of this data set are numeric. So, assuming each row of this data set is a point in 3-dimension. Find the distances between the points corresponding to the 28th and the 32st rows using the Manhattan and Chebyshev distance formula.
(c) Find the equation of a line passing through points A(0, 0, 1) and B(1, 1, 0). Also, find the coordinates of a point on this line which is at a distance of 10 units from point A opposite to the side of point B.
2. If 
be a function defined by f(x)= x2+2x+1, x ∈ [0, 5]. Show that f is Riemann integrable using both definitions. Also, verify that the results of both definition match.
3. (a) Evaluate the integral 
by considering D as a region of Type I and then as a region of Type II.
(b) Evaluate the integral 
using beta and gamma functions.
