Objective Questions

Questions (696)

#	Question	Topic	Actions
1	If \|5 - 2x\| < 1, what is the solution interval for x?	MTH 101 Past Questions	View
2	What is √81?	MTH 101 Past Questions	View
3	Which of the following is always true for any set A?	MTH 101 Past Questions	View
4	If 2^4 ≡ 1 (mod k), find k	MTH 101 Past Questions	View
5	The sum to infinity of a GP is 12. Its first term is 8. Find the common ratio.	Geometric Progression	View
6	Find the 8th term of a GP 2, 6, 18, ...	Geometric Progression	View
7	Sum of first 12 terms of GP 5, 15, 45, ...	Geometric Progression	View
8	A GP has a=5, sum of first 4 terms S_4=65. Find r.	Geometric Progression	View
9	Find the sum of first 8 terms of GP 2, 4, 8, ...	Geometric Progression	View
10	In a GP, a=3, r=1/3. Find sum to infinity.	Geometric Progression	View
11	What defines a circle in analytical geometry?	MTH 101 Past Questions	View
12	What is the name of a chord that passes through the center of a circle?	MTH 101 Past Questions	View
13	Which of the following is the longest component of a circle?	MTH 101 Past Questions	View
14	The line from the center of a circle to any point on the circumference is calle…	MTH 101 Past Questions	View
15	The segment of a circle is bounded by:	MTH 101 Past Questions	View
16	The general equation of a circle with center at (a,b) and radius r is:	MTH 101 Past Questions	View
17	The equation of a circle with center (-3,2) and radius 4 is:	MTH 101 Past Questions	View
18	The equation of a circle centered at the origin with radius 6 is:	MTH 101 Past Questions	View
19	What is the distance formula used to compute the radius from center (a,b) to a …	MTH 101 Past Questions	View
20	What is the radius squared of a circle with endpoints (6,2) and (-3,-3)?	MTH 101 Past Questions	View
21	The equation of a circle with diameter endpoints (6,2) and (-3,-3) is:	MTH 101 Past Questions	View
22	A tangent to a circle touches the circle:	MTH 101 Past Questions	View
23	A tangent is always:	MTH 101 Past Questions	View
24	A circle with radius r and center at the origin has equation:	MTH 101 Past Questions	View
25	Which of these is NOT a component of a circle?	MTH 101 Past Questions	View
26	What term refers to a line segment connecting two points on a circle without pa…	MTH 101 Past Questions	View
27	The term for half the length of a diameter is:	MTH 101 Past Questions	View
28	Which line never intersects a circle but touches it at exactly one point?	MTH 101 Past Questions	View
29	What shape is formed by a chord and its corresponding arc?	MTH 101 Past Questions	View
30	The formula for the equation of a circle is derived from which geometric princi…	MTH 101 Past Questions	View
31	What is the standard form of the equation of a circle with center (a,b) and rad…	MTH 101 Past Questions	View
32	What is the simplified equation of a circle with center at (4,5) and radius 6?	MTH 101 Past Questions	View
33	Which of the following is NOT a property of the general form of a circle?	MTH 101 Past Questions	View
34	The equation of a circle passing through (1,5), (5,3), and (3,-1) is:	MTH 101 Past Questions	View
35	Given that a circle passes through (4,1) and (6,5), and its center lies on 4x +…	MTH 101 Past Questions	View
36	What is the midpoint of the diameter with endpoints (5,4) and (-3,6)?	MTH 101 Past Questions	View
37	The equation of a circle through the ends of a diameter (5,4) and (-3,6) is:	MTH 101 Past Questions	View
38	What is the slope of the tangent line to the circle at point P(x₁,y₁)?	MTH 101 Past Questions	View
39	The equation of a tangent to a circle at point (x₁,y₁) is:	MTH 101 Past Questions	View
40	Which equation correctly represents a tangent to x² + y² = r² at point (x₁,y₁)?	MTH 101 Past Questions	View
41	What is the condition for a line to be tangent to a circle?	MTH 101 Past Questions	View
42	If the equation of the circle is x² + y² - 4x + 2y + 3 = 0, what is the value o…	MTH 101 Past Questions	View
43	Using the equation of tangent, what is the tangent at point (1,-2) to the circl…	MTH 101 Past Questions	View
44	The equation of the normal to the circle x² + y² - 4x + 2y + 3 = 0 at (1,-2) is:	MTH 101 Past Questions	View
45	Which formula gives the equation of the normal to a circle at point (x₁,y₁)?	MTH 101 Past Questions	View
46	The circle x² + y² + 2gx + 2fy + c = 0 has center:	MTH 101 Past Questions	View
47	What is the equation of the circle with center at (-3,2) and radius 5?	MTH 101 Past Questions	View
48	If x² + y² + 4x - 6y + 13 = 0, what is the center of the circle?	MTH 101 Past Questions	View
49	For the equation x² + y² + 4x - 6y + 13 = 0, what is the radius squared?	MTH 101 Past Questions	View
50	If a circle's general equation is x² + y² + 2gx + 2fy + c = 0 and (x₁,y₁) lies …	MTH 101 Past Questions	View
51	What is the value of sin² a + cos² a?	MTH 101 Past Questions	View
52	Which identity represents 1 + tan² a?	MTH 101 Past Questions	View
53	If sin a = 3/5 and a is in the first quadrant, what is cos a?	MTH 101 Past Questions	View
54	In which quadrant is only tangent positive?	MTH 101 Past Questions	View
55	The expression sin (90°-a) is equivalent to:	MTH 101 Past Questions	View
56	What is cos (180°-a) equal to?	MTH 101 Past Questions	View
57	What is the value of sin (-a)?	MTH 101 Past Questions	View
58	Which identity is correct?	MTH 101 Past Questions	View
59	What is sin (a+β) equal to?	MTH 101 Past Questions	View
60	Which expression is equal to cos (a-β)?	MTH 101 Past Questions	View
61	Which is the correct formula for sin 2a?	MTH 101 Past Questions	View
62	If 3^2 ≡ 1 (mod k), find k	MTH 101 Past Questions	View
63	Find the 4th term of a GP if a=3 and r=2.	Geometric Progression	View
64	Find the sum to infinity of GP 6, 3, 1.5, ...	Geometric Progression	View
65	The point where a tangent touches a circle is called:	MTH 101 Past Questions	View
66	What is the radius squared of a circle with center at (-1,6) passing through (2…	MTH 101 Past Questions	View
67	Which of the following is the formula for the sum of the first n natural number…	MTH 101 Past Questions	View
68	The general form of a circle is:	MTH 101 Past Questions	View
69	In the general form x² + y² + 2gx + 2fy + c = 0, the center of the circle is:	MTH 101 Past Questions	View
70	In a survey of 300 housewives, 120 read A, 150 read B, 110 read C. 40 read A an…	MTH 101 Past Questions	View
71	Determine the value of iⁱ	MTH 101 Past Questions	View
72	Given U = {1,2,3,...,10}, S = {3,5,7,9} and T = {4,5,6,7}, find S − T.	Set Theory	View
73	Given S = {3,5,7,9} and T = {4,5,6,7}, find S ∩ T.	Set Theory	View
74	Given S = {3,5,7,9} and T = {4,5,6,7}, find S ∪ T.	Set Theory	View
75	If A = {x ∈ Z : 0 < x < 15} and B = {x ∈ Z : -3 < x < 10}, find A − B.	Set Theory	View
76	In a panel of 20 interviewers, 14 said A was suitable, 10 said B was suitable, …	Set Theory	View
77	In a panel of 20 interviewers, 14 said A was suitable, 10 said B was suitabl…	Set Theory	View
78	In a class of 50 students, 30 speak Hausa, 16 Igbo, 21 Yoruba. If 8 speak Hausa…	Set Theory	View
79	In a class of 56 students, 39 study Math and 30 Chemistry. If 5 study neither, …	Set Theory	View
80	If U = {1,2,3,4,5,6,7}, A = {2,4,6} and B = {1,2,3,4}, find A ∪ B.	Set Theory	View
81	If U = {1..10}, A = {2,4,6,8} and B = {1,3,5,7,9}, find A ∩ B.	Set Theory	View
82	Let A = {1,2,3,4,5}, B = {4,5,6,7}. Find A − B.	Set Theory	View
83	In a group of 50 students, 20 like football, 15 like basketball, 10 like both. …	Set Theory	View
84	In a set of 60 students, 25 study Chemistry, 30 study Physics, 10 study both. H…	Set Theory	View
85	If U = {1..12}, A = {2,4,6,8,10,12}, B = {1,3,5,7,9,11}, find A ∩ B.	Set Theory	View
86	Let A = {a,b,c,d}, B = {c,d,e,f}, C = {d,e,f,g}. Find (A ∩ B) ∪ C.	Set Theory	View
87	In a class of 40, 18 take Math, 20 take English, 5 take both. How many take nei…	Set Theory	View
88	If A = {1,2,3,4}, B = {3,4,5,6}, find A Δ B (symmetric difference).	Set Theory	View
89	In a survey, 120 students: 70 like tea, 50 like coffee, 30 like both. How many …	Set Theory	View
90	If U = {1..10}, A = {2,4,6,8}, B = {1,2,3,4}, find A' ∩ B.	Set Theory	View
91	In a company, 40 employees know Excel, 30 know Word, 15 know both. How many kno…	Set Theory	View
92	A = {x \| x is even ≤10}, B = {x \| x divisible by 3 ≤12}, find A ∪ B.	Set Theory	View
93	In a class of 35, 20 like Music, 15 like Art, 5 like both. How many like neithe…	Set Theory	View
94	A = {a,b,c,d,e}, B = {c,d,e,f,g}. Find A ∩ B.	Set Theory	View
95	Find the sum of the first 120 terms of the arithmetic progression 5, 7, 9, .…	Arithmetic Progression	View
96	Find the 50th term of the arithmetic progression 3, 7, 11, ...	Arithmetic Progression	View
97	Find the sum of the first 75 terms of the arithmetic progression 2, 5, 8, ...	Arithmetic Progression	View
98	The 12th term of an AP is 34 and the 20th term is 58. Find the first term.	Arithmetic Progression	View
99	In an AP, the sum of the first 20 terms is 420. If the first term is 5, find th…	Arithmetic Progression	View
100	Find the 10th term of an AP whose sum of first 10 terms is 200 and first term i…	Arithmetic Progression	View

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