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CASE STUDY QUESTIONS, , 1. Daksh is a weak boy of class X and also he belongs to economically, weaker section of the society his parents are unable arrange a quality, , Maths-X 33

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es, , aa. |, , , , assistance regarding his academics. After periodic test 1 Aditi one of, , his classmates noticed this and decided to help Daksh to get atleast, , passing marks. She starts with finding nature of roots of quadratic, , equations: 4x? -12x + 9 = 0., , (i) First of all she ask Daksh to find out the value of a, b, ©. Which, option Daksh should select from the following :, , a) a=4,b=-12,c=9, , b) a= 4x,b=-12x,c= 9, c) a= 4x4,b=-12,c= 9, (dd) a=4,b=-12x,c= 9, , (ii) | Daksh selects correct answer, SO Aditi asks him about next step to, follow, Daksh replies :, , a) calculate roots, b) calculate quadratic formula, c) calculate discriminant, d) calculate sum and product of the root, (iii) | Daksh score is now 2 out of 2, he now asks Aditi to check calculations:, , a) 288 b) 0, c) 144° d) 36, (iv) Aditi finds his calculation perfect and ask him to compare it with zero:, a) Is it greater than zero” b) Is it less than zero, c) Is it equal to zero d) None of the above, (v) He finds it correct and so himself able to conclude the nature of roots, is :, a) real but unequal b) no real roots, c) imaginary roots d) real and equal roots, , After the declaration of Half Yearly Result, teacher plans remedial class for, fifteen students of class X and selects a few topics only to target 40 marks, for late bloomers. Today she has planned to take the topic of determining an, unknown involved ina quadratic equation when its: root(s) is(are) given that, is : If one root of the quadratic equation 2x? + kx - 6 = 2 is 2 find the, value of k(unknown)., , (i) | She asks from four students, what is the first step to proceed the, question :, , a) Lucky says middle term factorization., , 34 Matbs-X

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ee: |, , b) Goraksh says he is not sure., c) Kartikey says put 2 in place of x in the given equation., d) Mohit says put 2 in place of k in the given equation., , (ii) | Teacher announces only one student out of above four has given the, right answer and in total 9 out of 15 got the right answer «, , a) = -1 b) x=-1, e) kee d) k=-2, , (iii) Since the quadratic equation has two roots, teacher asks the students, can we find the other root: (select the correct reply), , a) no b) data incomplete, c) yes but data incomplete d) yes, (iv) If yes which method will be applied : |, - a) middle term factorization., 'b) other root cannot be calculated, c) quadratic formula, d) __ trial and error method, (v) Select the correct option, , a) (x — 2)(x + 3) b) (x — 2)(2x + 3), c) (3x — 2)(2x + 3) d) (x - 3)(2x + 3), , ARI@e@iLITS-eAaRe