Default for MTH101 The default category for questions shared in context 'MTH101'. Fill in the Blank (FBQs) FBQ1 *Discriminant* 1.0000000 0.0000000 FBQ2 *-2* 1.0000000 0.0000000 0.0000000 FBQ3 In terms of their elements, two sets are called disjoint if they have ________________ *no element in common* 1.0000000 0.0000000 FBQ4 The set of all y values of a relation is called the ___________________ *Domain* 1.0000000 0.0000000 FBQ5 The set of element in {x | x is a positive even integer less than 4} is: _________________ *{1,2,3}* 1.0000000 0.0000000 FBQ6 The centre of the circle is ………………… *(1,-3)* 1.0000000 0.0000000 FBQ7 The common ratio is __________, when the fourth term is divided by the second term is 9 *3* 1.0000000 0.0000000 FBQ8 In slope-intercept form, the equation of a line passing through the point (-3,2) and parallel to 4x-y=7 is given as ……………….. *y=4x+4* 1.0000000 0.0000000 FBQ9 The distance between the points (-3, 19), (-7, -5) to the nearest tenth is ………….. *24.3* 1.0000000 0.0000000 FBQ10 Power set of empty set has exactly …………………… number of subset. *Zero* 1.0000000 *0* 1.0000000 FBQ11 The x intercept of 9x-2y=18 is _____ *(3,0)* 1.0000000 0.0000000 FBQ12 What is the coordinate of the y-intercept of the linear equation 9x-2y=18 is…………….. *(0,2)* 1.0000000 0.0000000 FBQ13 The leading coefficient of y=6x3-3x2+4x+5 is ………………………… *6* 1.0000000 0.0000000 FBQ14 If A and B are sets and A ∪ B =A ∩ B, then the two sets are …………………. *A=B* 1.0000000 *Equal* 1.0000000 FBQ15 The intersect of the sets {1,2,5} and {1,2,6} is the set ................ *{1, 2}* 1.0000000 0.0000000 FBQ16 The solution of a quadratic equation is sometimes called __________________ *Roots* 1.0000000 0.0000000 FBQ17 Given the circle , the radius of the circle is……………………… *Zero* 1.0000000 *0* 1.0000000 FBQ18 The equation of the line passing through the point (-3,7) with slope zero can be written as ………………… *y=7* 1.0000000 0.0000000 FBQ19 The Common difference of sequence 2,-2 ,-6,… is ………………… *-4* 1.0000000 0.0000000 FBQ20 The complex number is represented by …………………… *x+iy* 1.0000000 0.0000000 FBQ21 Set that have unlimited numbers of elements are referred to as……………. *infinite set* 1.0000000 0.0000000 FBQ22 The radius of the circle with the equation: is __________ *5* 1.0000000 0.0000000 FBQ23 The sum of -5+ 4i+9+ 6i in standard form ( + bi) is …………….. *4+10i* 1.0000000 0.0000000 FBQ24 The cardinality of the Power set of the set {0,1,2} is …………………………… *6* 1.0000000 0.0000000 FBQ25 The values of x in equation is …………………… *5 and 1* 1.0000000 *1 and 5* 1.0000000 FBQ26 The union of the sets {1,2,5} and {1,2,6} is the set .............................. *{1, 2, 5, 6}* 1.0000000 1.0000000 FBQ27 The individual objects in a set are called ……………………… *element* 1.0000000 *member* 1.0000000 FBQ28 The Common difference of sequence 5,8,11,14,… is *3* 1.0000000 0.0000000 FBQ29 Collection of well-defined objects is called a ………………….. *set* 1.0000000 0.0000000 FBQ30 The set of positive integers is an example of ……………… set *infinite* 1.0000000 0.0000000 FBQ31 If A∪B=B∪A, then the sets A and B are ……………. *commutative* 1.0000000 0.0000000 FBQ32 The product of 4+iand 4-iis ……………… *17* 1.0000000 0.0000000 FBQ33 A linear system of equations made up of two intersecting lines has ________ solution(s). *2* 1.0000000 *two* 1.0000000 FBQ34 The Sum of the roots of the quadratic equation 3x2 -5x -2 is ………………… *5/3* 1.0000000 *1.667* 1.0000000 FBQ35 The solutions of a quadratic equation x2 + 5x – 6 = 0 are ……………. and ………………… *1 , -6* 1.0000000 *-6, 1* 1.0000000 *1 and -6* 1.0000000 *-6 and 1* 1.0000000 FBQ36 In standard form a+ bi, 3- 5i--5+ 11i+(9+ 6i) can be reduced to …. *17-10i* 1.0000000 0.0000000 FBQ37 Any set that contains a definite number of elements is called ………………. *finite set* 1.0000000 *finite* 1.0000000 FBQ38 One factor of the expression 8x2 – 19x + 6 is x -2. The other is ……………….. *8x-3* 1.0000000 *-3+8x* 1.0000000 FBQ39 Expansion of 3-6i2is ……………………… *-27-36i* 1.0000000 0.0000000 FBQ40 If the difference between the third term and the second term is 12, then the common difference is ………………….. *12* 1.0000000 0.0000000 FBQ41 If Set D = {x: x is an odd number between 10 and 18}, the elements *{11,13,15,17}* 1.0000000 0.0000000 FBQ42 The minimum value of is …………………… *-4* 1.0000000 0.0000000 FBQ43 The numerator of the quotient 5-3i2+ 7i in standard form (a+ bi) is ………….. *-11-4i* 1.0000000 0.0000000 FBQ44 When b2-4ac<0, then the equation has …………………solution. *two complex * 1.0000000 *2 complex * 1.0000000 FBQ45 The first and seventh terms of a geometric progression are 812 and 329 respectively. Hence, the common ratio is …………………… *2/3* 1.0000000 *0.667* 1.0000000 FBQ46 If two sets have distinct elements, they are said to be …………………… *disjoint* 1.0000000 0.0000000 FBQ47 The slope of the linear equation y=12x-2 is …………………… *2/3* 1.0000000 *0.5* 1.0000000 FBQ48 The slope of the linear equationy=-14x+7 is …………… *-1/4* 1.0000000 *-0.25* 1.0000000 FBQ49 If U={a,b,c,d,e}, A={a,c,e} and B={a,b,e}, then (A∩B)=……………… *{a,e}* 1.0000000 0.0000000 FBQ50 The value of i15is …………………… *-i* 1.0000000 0.0000000 Multiple Choice Questions (MCQs) MCQ1 Evaluate 5 1.0000000 34 0.0000000 7 0.0000000 8 0.0000000 MCQ2 x=3 1.0000000 x=-1 0.0000000 x=-3 0.0000000 x=-9 0.0000000 MCQ3 Find the product of 4 + i and 4 – i. 15 0.0000000 15 0.0000000 17 1.0000000 10 0.0000000 MCQ4 What are the center and radius of ? 0.0000000 0.0000000 1.0000000 0.0000000 MCQ5 Simply 1.0000000 0.0000000 0.0000000 0.0000000 MCQ6 Expand -27 - 36i 1.0000000 9 + 36i 0.0000000 45 0.0000000 27 0.0000000 MCQ7 Find the next term of each sequence 4 -16, 64, -256 1024, … -4096 1.0000000 -20058 0.0000000 -1281 0.0000000 -3072 0.0000000 MCQ8 Find the next term of each sequence 4, 16, 36, 64, 100 169 0.0000000 144 1.0000000 164 0.0000000 124 0.0000000 MCQ9 Find the next term of each sequence 4, -12, 36, -108, 324 -972 1.0000000 - 625 0.0000000 -648 0.0000000 -169 0.0000000 MCQ10 Expand and simplify (2x - 1)(x + 3) x2+x-5 0.0000000 x2+2x-6 0.0000000 x2+3x-1 0.0000000 x2+5x-3 1.0000000 MCQ11 Factorize completely. 9x2-24x-16 (3x-4)2 1.0000000 (9x-4)(x-4) 0.0000000 (3x-8)(3x-2) 0.0000000 (x-8)(9x-2) 0.0000000 MCQ12 (x-3)2 is equal to ____ x2 – 6 x + 9 1.0000000 x2 – 9 0.0000000 x2 + 9 0.0000000 x2 + 6 x + 9 0.0000000 MCQ13 Find an equation whose roots are -2 and 1. x2+x-2=0 1.0000000 x2+2x-2=0 0.0000000 x2-x-2=0 0.0000000 x2-2x-2=0 0.0000000 MCQ14 When solving a linear system of equations, you are looking for which of the following? Point(s) of intersection 1.0000000 x intercepts 0.0000000 Roots 0.0000000 Shaded region 0.0000000 MCQ15 A linear system of equations made up of two intersecting lines has ________ solution(s) two 0.0000000 three 0.0000000 one 1.0000000 no 0.0000000 MCQ16 If the legs of a right triangle measure 5 and 12 cm respectively, the measure of the third side is 21 cm 0.0000000 17cm 0.0000000 15 cm 0.0000000 13 cm 1.0000000 MCQ17 Which of the following is an equation of a circle? (x + 1)3 = 0 0.0000000 y = 2x2 + x – l 0.0000000 y2 = 16x 0.0000000 x2 + y2 = 9 1.0000000 MCQ18 The set of all y=f(x) values of a relation is called the _____. range 0.0000000 domian 1.0000000 inverse 0.0000000 function 0.0000000 MCQ19 If a system of equations has one solution, then the equations will have _____. different slopes 1.0000000 different y intercepts 0.0000000 the same slopes 0.0000000 inverse 0.0000000 MCQ20 The solution(s) of a Quadratic Equation is/are also sometimes called _____. root(s) 1.0000000 y- intercept(s) 0.0000000 x-intercept(s) 0.0000000 co-domian 0.0000000 MCQ21 The function completely factorized is _____. 1.0000000 0.0000000 0.0000000 0.0000000 MCQ22 All the solution(s) for are ____ 1.0000000 0.0000000 0.0000000 0.0000000 MCQ23 What is the Leading Coefficient of ? 6 1.0000000 5 0.0000000 4 0.0000000 3 0.0000000 MCQ24 What is the constant of 5 1.0000000 6 0.0000000 4 0.0000000 3 0.0000000 MCQ25 5 1.0000000 11 0.0000000 3 0.0000000 4 0.0000000 MCQ26 What is the y-intercept of the line determined by the linear equation ? 1.0000000 0.0000000 0.0000000 0.0000000 MCQ27 What is the slope of the linear equation: -12 1.0000000 -4 0.0000000 4 0.0000000 -12 0.0000000 MCQ28 Which ordered pair(s) are all the y-intercept(s) of the equation: (0,1) 1.0000000 (0,0) 0.0000000 (1,0) 0.0000000 (0,-1) and (0,2) 0.0000000 MCQ29 never 1.0000000 x = -1 0.0000000 x = -4 0.0000000 x = 0 0.0000000 MCQ30 What is the radius of the circle graphed by the equation: 5 1.0000000 25 0.0000000 4 0.0000000 16 0.0000000 MCQ31 The square root of a number is the same as raising the number to the -------------------- (1/2) power 1.0000000 second power 0.0000000 (1/3) power 0.0000000 Third power 0.0000000 MCQ32 The x intercept of 2x – 3y = 6 is _____________ (3,0) 1.0000000 (0,-2) 0.0000000 (0,-3) 0.0000000 (-3,0) 0.0000000 MCQ33 The domain of, will be any real number _______. except – 2 1.0000000 except – 3 0.0000000 except 2 0.0000000 except – 1 0.0000000 MCQ34 Expand and express your answer in simplest complex form (3 + 5i)(2 – i) 1.0000000 0.0000000 0.0000000 0.0000000 MCQ35 What is the minimum value of -6 1.0000000 12 0.0000000 -2 0.0000000 5 0.0000000 MCQ36 1.0000000 0.0000000 0.0000000 0.0000000 MCQ37 5and 1 only 1.0000000 no solution 0.0000000 1only 0.0000000 5 only 0.0000000 MCQ38 Approximate the distance between the points (-3, 19), (-7, -5) to the nearest tenth: 24.3 1.0000000 17.2 0.0000000 5.3 0.0000000 6.3 0.0000000 MCQ39 The number of elements in the Power set P(S) of the set S={[∅], 1, [2,3]} is 4 1.0000000 2 0.0000000 8 0.0000000 6 0.0000000 MCQ40 If A and B are sets and A ∪ B =A ∩ B, then A=B 1.0000000 A=∅ 0.0000000 B=∅ 0.0000000 A≠B 0.0000000 MCQ41 The union of the sets {1,2,5} and {1,2,6} is the set ................ {1,2,5,6} 1.0000000 {1,2,1,2} 0.0000000 {1,5,6,3} 0.0000000 {1,2,6,1} 0.0000000 MCQ42 The intersection of the sets {1,2,5} and {1,2,6} is the set …………… {1,2} 1.0000000 {5,6} 0.0000000 {2,5} 0.0000000 {1,6} 0.0000000 MCQ43 Two sets are called disjoint if their ………….. is empty set. intersection 1.0000000 complement 0.0000000 Difference 0.0000000 Union 0.0000000 MCQ44 Which of the following two sets are disjoint? {1,3,5}and{2,4,6} 1.0000000 {1,3,5}and{2,3,4} 0.0000000 {1,2,3,}and{1,2,3} 0.0000000 {1,3,5}and{1,3,6,} 0.0000000 MCQ45 The complement of the set A is ……….. element not in A but in the universal set 1.0000000 Universal set union A 0.0000000 some of the element in A 0.0000000 A 0.0000000 MCQ46 Individual objects in a set are called ………….. element 1.0000000 set 0.0000000 list 0.0000000 not element 0.0000000 MCQ47 Set {x: x is an odd number between 10 and 18} {11,13,15,17} 1.0000000 {12,14,16,18} 0.0000000 {12,16,15,13} 0.0000000 {11,12,13,15,17} 0.0000000 MCQ48 Polar form of a complex number is ………………… r(cosθ+ isinθ) 1.0000000 r(sinθ+ icosθ) 0.0000000 r(secθ+ icosecθ) 0.0000000 r(tanθ+ icotθ) 0.0000000 MCQ49 a2 + b2 is equal to …………… (a+ib)(a-ib) 1.0000000 (a+ib)(a-b) 0.0000000 (a+ib)(a-ib) 0.0000000 (a+b)(a-b) 0.0000000 MCQ50 The solution of a quadratic equation x2 + 5x – 6 = 0 is x=1,x=-6 1.0000000 x=1, x=0 0.0000000 x= 5, x=2 0.0000000 x= -1, x=3 0.0000000