Marks 45.00/50.00 Grade 90.00 out of 100.00 Question 1 Correct Mark 1.00 out of 1.00 Flag question Question text A ___________ is a closed curve that is drawn from the fixed point called the centre, in which all the points on the curve are having the same distance from the centre point of the centre. a. Parabola b. Ellipses c. Circle d. Hyperbola Feedback Your answer is correct. Question 2 Correct Mark 1.00 out of 1.00 Flag question Question text n=6, 饾潹(1+k^2), k=3 a. 91 b. 88 c. 90 d. 89 Feedback Your answer is correct. Question 3 Correct Mark 1.00 out of 1.00 Flag question Question text The standard equation of a parabola with vertex at (h,k) is (x - h)^2 = -4a (y - k) if it opens_____. a. Downward b. to the right c. Upward d. to the left Feedback Your answer is correct. Question 4 Correct Mark 1.00 out of 1.00 Flag question Question text If the denominator of y is greater than the denominator of x, our ellipse is _____________. a. Diagonal b. None of the above c. Horizontal d. Vertical Feedback Your answer is correct. Question 5 Correct Mark 1.00 out of 1.00 Flag question Question text A sequence is a function whose domain is the set of positive integers of the set {1, 2, 3, …, n}. a. True b. Neither c. False d. Either Feedback Your answer is correct. Question 6 Correct Mark 1.00 out of 1.00 Flag question Question text Give the center of the given equation: [(x-2)^2/100]+[(y+3)^2/36]=1 a. (-2, -3) b. (2, -3) c. (2, 3) d. (-2, 3) Feedback Your answer is correct. Question 7 Incorrect Mark 0.00 out of 1.00 Flag question Question text n=8, 饾潹1/i!, i=0 a. 2.74828 b. 2.71828 c. 2.73828 d. 2.72828 Feedback Your answer is incorrect. Question 8 Correct Mark 1.00 out of 1.00 Flag question Question text The Binomial Theorem is the method of expanding an expression that had been raised to any finite power. a. True b. Either c. False d. Neither Feedback Your answer is correct. Question 9 Correct Mark 1.00 out of 1.00 Flag question Question text All of the following is true except for a. B^2 - 4AC > 0 → Neither Ellipse nor Circle b. B^2 - 4AC < 0 → Hyperbola c. B^2 - 4AC > 0 → Either Ellipse or Circle d. B^2 - 4AC = 0 → Parabola Feedback Your answer is correct. Question 10 Correct Mark 1.00 out of 1.00 Flag question Question text Calculate 5!. a. 150 b. 130 c. 140 d. 120 Feedback Your answer is correct. Question 11 Correct Mark 1.00 out of 1.00 Flag question Question text Find the standard form of equation of the hyperbola with foci F1(-1, 2) and F2(5, 2) and vertices V1(0, 2) and V2(4, 2). a. [(x+2)^2/4] + [(y+2)^2/5] = 1 b. [(x+2)^2/4] - [(y+2)^2/5] = 1 c. [(x-2)^2/4] + [(y-2)^2/5] = 1 d. [(x-2)^2/4] - [(y-2)^2/5] = 1 Feedback Your answer is correct. Question 12 Correct Mark 1.00 out of 1.00 Flag question Question text What is the fifth term of the sequence a sub n = 2^n/n!. a. 3/3 b. 5/3 c. 4/3 d. 2/3 Feedback Your answer is correct. Question 13 Correct Mark 1.00 out of 1.00 Flag question Question text n=7, 饾潹委^3 ,委=1 a. 782 b. 786 c. 784 d. 780 Feedback Your answer is correct. Question 14 Correct Mark 1.00 out of 1.00 Flag question Question text Given the quation of a circle is x^2 + y^2 − 12x − 16y + 19 = 0. Find the centre. a. (-6,8) b. (6,-8) c. (6,8) d. (-6,-8) Feedback Your answer is correct. Question 15 Correct Mark 1.00 out of 1.00 Flag question Question text Write the 4th term of the sequence a sub n = 3 + (-1)^n. a. 2 b. 5 c. 3 d. 4 Feedback Your answer is correct. Question 16 Correct Mark 1.00 out of 1.00 Flag question Question text A sequence is a list of numbers separated by commas while series is a sum of numbers separated by “+” or “-” sign. The statement is ______. a. True b. False c. Neither d. Either Feedback Your answer is correct. Question 17 Correct Mark 1.00 out of 1.00 Flag question Question text What is the 3rd term of the sequence a sub n = 3n -2. a. 7 b. 13 c. 4 d. 10 Feedback Your answer is correct. Question 18 Correct Mark 1.00 out of 1.00 Flag question Question text It a is the midpoint of both the transverse and conjugate axes, where they intersect. a. Focus of the hyperbola b. Center of the hyperbola c. Vertex of the hyperbola d. Asymptotes of the hyperbola Feedback Your answer is correct. Question 19 Correct Mark 1.00 out of 1.00 Flag question Question text The transverse axis is a line segment that passes through the center of the hyperbola and has vertices as its endpoints. a. Neither b. False c. True d. Either Feedback Your answer is correct. Question 20 Correct Mark 1.00 out of 1.00 Flag question Question text What is the foci of the given equation: [(x-2)^2/100]+[(y+3)^2/36]=1 a. (-10, -3), (-6, -3) b. (10, 3), (6, 3) c. (-10, 3), (-6, 3) d. (10, -3), (-6, -3) Feedback Your answer is correct. Question 21 Correct Mark 1.00 out of 1.00 Flag question Question text This refers to the axis which is perpendicular to the transverse axis and has the co-vertices as its endpoints. a. Transverse Axis b. Conjugate Axis c. Axis Of Symmetry d. None of the above Feedback Your answer is correct. Question 22 Correct Mark 1.00 out of 1.00 Flag question Question text If the 3rd term of the arithmetic sequence is 13 and the 9th term is 37, what is the common difference of the sequence? a. 4 b. 5 c. 6 d. 3 Feedback Your answer is correct. Question 23 Correct Mark 1.00 out of 1.00 Flag question Question text n=4, 饾潹(6委-4委^2),委=1 a. 60 b. -62 c. 62 d. -60 Feedback Your answer is correct. Question 24 Correct Mark 1.00 out of 1.00 Flag question Question text The equation of circle with (h,k) center and r radius is given by: a. None of the Above b. (x-h)^2 - (y-k)^2 = r^2 c. (x-h)^2 + (y-k)^2 = r^2 d. (x-k)^2 + (y-h)^2 = r^2 Feedback Your answer is correct. Question 25 Correct Mark 1.00 out of 1.00 Flag question Question text Find the 7th term of the given sequence: 5, 9, 13, 17, _, _, _ a. 29 b. 21 c. 25 d. 19 Feedback Your answer is correct. Question 26 Correct Mark 1.00 out of 1.00 Flag question Question text The general equation of any type of circle is represented by x^2 + y^2 + Dx + Ey + F = 0 for all values of D, E and F. Give the equation to get the center. a. (-D/2, -E/2) b. (D/2, E/2) c. (D/2, -E/2) d. None of the above Feedback Your answer is correct. Question 27 Incorrect Mark 0.00 out of 1.00 Flag question Question text The equation x^2 = -4y opens _______. a. To the right b. To the left c. Downward d. Upward Feedback Your answer is incorrect. Question 28 Correct Mark 1.00 out of 1.00 Flag question Question text What is the length of latus rectum of the equation (y - 2)^2 = 12 (x - 1) a. 12 b. -2 c. -12 d. -1 Feedback Your answer is correct. Question 29 Correct Mark 1.00 out of 1.00 Flag question Question text Point (1,2) is the center of the circle and radius is equal to 4cm. What is the equation of this circle? a. x^2 + y^2 − 2x − 4y - 11 = 0 b. x^2 + y^2 − 2x − 4y + 11 = 0 c. x^2 + y^2 + 2x + 4y - 11 = 0 d. None of the Above Feedback Your answer is correct. Question 30 Correct Mark 1.00 out of 1.00 Flag question Question text The standard equation of a parabola with vertex at (h,k) is (y - k)^2 = 4a (x - h) if it opens_____. a. to the right b. Downward c. to the left d. Upward Feedback Your answer is correct. Question 31 Correct Mark 1.00 out of 1.00 Flag question Question text Find the solution set of the given equations using elimination: 2x - 5y = -13; -3y + 4 = -5x a. (1, 3) b. (-1, 3) c. (-1, -3) d. (1, -3) Feedback Your answer is correct. Question 32 Incorrect Mark 0.00 out of 1.00 Flag question Question text Find the solution set of the given equations using substitution: 4x - 2y = 2; 2x + y = -5 a. (1, 3) b. (1, -3) c. (-1, -3) d. (-1, 3) Feedback Your answer is incorrect. Question 33 Correct Mark 1.00 out of 1.00 Flag question Question text Rewrite the given rotated equation into standard form: 7x^2 - 6√3xy + 13y^2 - 16 = 0 a. (x^'2/4) - (y^'2/1) = 1 b. (x^'2/1) + (y^'2/4) = 1 c. (x^'2/1) - (y^'2/4) = 1 d. (x^'2/4) + (y^'2/1) = 1 Feedback Your answer is correct. Question 34 Correct Mark 1.00 out of 1.00 Flag question Question text The focal length of the parabola x^2 - 2x - 4y + 1= 0 is ____________. a. 2 b. 0 c. 1 d. 3 Feedback Your answer is correct. Question 35 Incorrect Mark 0.00 out of 1.00 Flag question Question text Given the quation of a circle is x^2 + y^2 − 12x − 16y + 19 = 0. Find the radius. a. 8 b. 11 c. 10 d. 9 Feedback Your answer is incorrect. Question 36 Correct Mark 1.00 out of 1.00 Flag question Question text Give the foci of the hyperbola 9x^2 - 4y^2 - 18x - 16y - 43 = 0. a. (1+√13, -2), (1-√13, -2) b. (1+√13, -2), (1-√13, 2) c. (1+√13, 2), (1-√13, 2) d. (1+√13, 2), (1+√13, -2) Feedback Your answer is correct. Question 37 Correct Mark 1.00 out of 1.00 Flag question Question text An infinite sequence is a function whose domain is set of positive integers. a. False b. Neither c. Either d. True Feedback Your answer is correct. Question 38 Correct Mark 1.00 out of 1.00 Flag question Question text If the 3rd term of the arithmetic sequence is 13 and the 9th term is 37, write the first term of the sequence a. 1 b. 5 c. 9 d. 7 Feedback Your answer is correct. Question 39 Correct Mark 1.00 out of 1.00 Flag question Question text If the denominator of x is greater than the denominator of y, our ellipse is _____________. a. None of the above b. Diagonal c. Vertical d. Horizontal Feedback Your answer is correct. Question 40 Correct Mark 1.00 out of 1.00 Flag question Question text As a special case, zero factorial is defined as 0! = 1. The statement is always true. a. Neither b. Either c. No d. Yes Feedback Your answer is correct. Question 41 Correct Mark 1.00 out of 1.00 Flag question Question text 4x^2 - 24x + 9y^2 + 36y + 36 = 0 is a/an ____________. a. Circle b. Ellipse c. Parabola d. Hyperbola Feedback Your answer is correct. Question 42 Correct Mark 1.00 out of 1.00 Flag question Question text It’s a locus of points which moves so that it is always equidistant to a fixed point called focus and a fixed line called directrix. a. Parabola b. Circle c. Ellipses d. Hyperbola Feedback Your answer is correct. Question 43 Correct Mark 1.00 out of 1.00 Flag question Question text n=5 饾潹 3i, i=1 a. 46 b. 45 c. 48 d. 47 Feedback Your answer is correct. Question 44 Incorrect Mark 0.00 out of 1.00 Flag question Question text What is the quadratic model for sequence with indicated terms: . (a sub 0)= 3, (a sub 1)= 3, (a sub 4)= 15 a. (a sub n) = n^2 + n + 3 b. (a sub n) = n^2 + n - 3 c. (a sub n) = n^2 - n - 3 d. (a sub n) = n^2 - n + 3 Feedback Your answer is incorrect. Question 45 Correct Mark 1.00 out of 1.00 Flag question Question text A/An ___________ is the locus of all the points in a plane such that the difference in their distances from two fixed points in the plane is a constant. a. Circle b. Parabola c. Hyperbola d. Ellipses Feedback Your answer is correct. Question 46 Correct Mark 1.00 out of 1.00 Flag question Question text What is standard equation of an ellipse if it has horizontal orientation? a. [(x+h)^2/a^2] + [(y+k)^2/b^2] = 1 b. [(x-h)^2/a^2] - [(y-k)^2/b^2] = 1 c. [(x+h)^2/a^2] - [(y+k)^2/b^2] = 1 d. [(x-h)^2/a^2] + [(y-k)^2/b^2] = 1 Feedback Your answer is correct. Question 47 Correct Mark 1.00 out of 1.00 Flag question Question text Every hyperbola has _________ that pass through its center. a. 1 Asymptotes b. 3 Asymptotes c. 2 Asymptotes d. 4 Asymptotes Feedback Your answer is correct. Question 48 Correct Mark 1.00 out of 1.00 Flag question Question text A fix line in parabola is called __________. a. Directrix b. Latus Rectum c. Vertex d. Focus Feedback Your answer is correct. Question 49 Correct Mark 1.00 out of 1.00 Flag question Question text What is the 12th term of the sequence 2, 4, 6, 8, ...? a. 26 b. 0 c. 28 d. 22 e. 24 Feedback Your answer is correct. Question 50 Correct Mark 1.00 out of 1.00 Flag question Question text What is the center of the hyperbola with foci F1(-1, 2) and F2(5, 2) and vertices V1(0, 2) and V2(4, 2). a. (-2, 2) b. (2, -2) c. (2, 2) d. (-2, -2) Feedback Your answer is correct.