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Q296 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

If A, B and C are acute positive angles such that A + B + C = pi and cot A cot B cot C = K then

Choose One:

A) K <= 1/(3*sqrt(3))

B) K >= 1/(3*sqrt(3))

C) K < 1/9

D) K > 1/3

Correct Answer:
Explanation:

Q297 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

The two adjacent sides of a cyclic QUADRILATERAL are 2 and 5 and the angle between them is 60 degrees. If the third side is 3, the remaining fourth side is -

Choose One:

A) 2

B) 3

C) 4

D) 5

Correct Answer:
Explanation:

Q298 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

The top of a hill observed from the top and bottom of a building of height h is at angles of elevation p and q respectively. The height of the hill is

Choose One:

A) (h cot q) / (cot q - cot p)

B) (h cot p) / (cot p - cot q)

C) (h tan p) / (tan p - tan q)

D) (h sec p) / (tan p - tan q)

Correct Answer:
Explanation:

Q299 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

The tangent to the hyperbola x^2 - y^2 = 3 are parallel to the straight line 2x + y + 8 = 0 at the following points:

Choose One:

A) (2, 2), (1, 2)

B) (2, -1), (-2, 1)

C) (-2, -1), (1, 2)

D) (-2, -1), (-1, -2)

Correct Answer:
Explanation:

Q300 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

A circle S passes through the point (0, 1) and is orthogonal to the circles (x-1)^2 + y^2 = 16 and x^2 + y^2 = 1. Then A. Radius of S is 8 B. Radius of S is 7 C. Centre of S is (-7, 1) D. Centre of S is (-8, 1). Choose the correct answer:

Choose One:

A) A only

B) A and B only

C) B and C only

D) D only

Correct Answer:
Explanation:

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