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Q281 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

If the unit vectors a and b are inclined at an angle 2theta such that |a - b| < 1 and 0 <= theta <= pi, then theta lies in the interval.

Choose One:

A) [0, pi/2]

B) [5pi/6, pi]

C) [pi/6, pi/2]

D) [pi/2, 5pi/6]

Correct Answer:
Explanation:

Q282 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

Each of the angle between vectors a, b and c is equal to 60 degrees. If |a|=4, |b|=2 and |c|=6 then the modulus of a+b+c is

Choose One:

A) 10

B) 15

C) 12

D) 20

Correct Answer:
Explanation:

Q283 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

If a = 2i + 2j + 3k, b = -i + 2j + k and c = 3i + j are such that a + y*b is perpendicular to c, then determine the value of y?

Choose One:

A) 3

B) 0

C) 4

D) 8

Correct Answer:
Explanation:

Q284 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

Let a = cos(2pi/7) + i sin(2pi/7), \alpha = a + a^2 + a^4 and \beta = a^3 + a^5 + a^6 then the equation whose roots are \alpha, \beta is

Choose One:

A) x^2 + x + 2 = 0

B) x^2 + x - 2 = 0

C) x^2 - x - 2 = 0

D) x^2 - x + 2 = 0

Correct Answer:
Explanation:

Q285 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

If x, y, z are all distinct and the determinant of a 3x3 matrix with rows [x, x^2, 1+x^3], [y, y^2, 1+y^3], [z, z^2, 1+z^3] = 0, then the value of xyz is

Choose One:

A) -2

B) -1

C) -3

D) 0

Correct Answer:
Explanation:

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