Jamia Millia Islamia MCA 2018 Previous Year Questions (PYQs) – Page 1 of 10
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Points within a set are connected by a line segment must follow the condition that points are
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Solution
In a convex set, any line joining two points lies entirely within the set.
In mathematical programming, goals represented by objective functions include
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Solution
Objective functions can represent any of these based on problem type.
Coordinates of midpoint of line joining two points (16, 4) and (36, 6) are
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Solution
Midpoint = ((16+36)/2, (4+6)/2) = (26, 5).
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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Solution
Select men = 7C5 = 21, women = 3C2 = 3, total = 21 × 3 = 63.
For individual observations, reciprocal of arithmetic mean is called
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Solution
Reciprocal of arithmetic mean = harmonic mean.
A.P. whose nth term is $2n - 1$ is
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Solution
Substituting $n=1,2,3,…$ gives terms 1, 3, 5,…
The equation of straight line passing through (3, 2) and perpendicular to $y = x$ is
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Solution
Slope of $y = x$ is 1 → perpendicular slope = −1.
Equation: $y - 2 = -1(x - 3) \Rightarrow x + y = 5$.
Specifying a straight line, how many geometrical parameters should be known?
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Solution
A line is determined by two parameters — slope and intercept (or two points).
A point equidistant from lines $4x + 3y + 10 = 0$, $5x - 12y + 26 = 0$, and $7x + 24y - 50 = 0$ is
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Solution
Solving equal distance condition gives point (1,1).
One vertex of an equilateral triangle with centroid at origin and one side as $x + y - 2 = 0$ is
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Solution
Using centroid condition and perpendicular distance relation gives vertex (2, −2).
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