Previous Year Questions

Q276 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

If n1, n2 are two unit vectors and theta is the angle between them, then cos(theta/2) is equal to

Choose One:

A) 1/2 |n1 + n2|

B) 1/2 |n1 - n2|

C) 1/2 |n1 . n2|

D) 1/2 |n1 x n2| / (|n1||n2|)

Q277 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

The moment of the couple formed by the forces 5i + k and -5i - k acting at the points (9, -1, 2) and (3, -2, 1) respectively, is

Choose One:

A) 11i - j + 5k

B) -i + 11j - 5k

C) -i + 11j + 5k

D) i - j - 5k

Q278 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

If the curve ay + x^2 = 7 and x^3 = y, cut orthogonally at (1, 1), then the value of a is -

Choose One:

A) 1

B) 6

C) -6

D) 0

Q279 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

The unit vectors orthogonal to the vector -i + 2j + 2k and making equal angles with the x and y axis is (are)

Choose One:

A) +- 1/3 (2i + 2j - 2k)

B) +- 1/3 (i + j - k)

C) +- 1/3 (2i - 2j - 2k)

D) +- 1/3 (i - 2j - 2k)

Q280 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

Statement I: The angle between the vectors 2i + 3j + k and 2i - j - k is pi/2. Statement II: The vector a x (b x c) is coplanar with a and b. In the light of the above statements, choose the correct answer from the options given below:

Choose One:

A) Both Statement I and Statement II are true

B) Both Statement I and Statement II are false

C) Statement I is true but Statement II is false

D) Statement I is false but Statement II is true

PYQBOOK

Filter Questions

If n1, n2 are two unit vectors and theta is the angle between them, then cos(theta/2) is equal to

Choose One:

The moment of the couple formed by the forces 5i + k and -5i - k acting at the points (9, -1, 2) and (3, -2, 1) respectively, is

Choose One:

If the curve ay + x^2 = 7 and x^3 = y, cut orthogonally at (1, 1), then the value of a is -

Choose One:

The unit vectors orthogonal to the vector -i + 2j + 2k and making equal angles with the x and y axis is (are)

Choose One:

Statement I: The angle between the vectors 2i + 3j + k and 2i - j - k is pi/2. Statement II: The vector a x (b x c) is coplanar with a and b. In the light of the above statements, choose the correct answer from the options given below:

Choose One: