Five friends Rahul, Avinash, Shailesh, Rohit and Bishal are sitting in a park. Out of these Rahul and Shailesh brought functions given by {y= f (x) defined as x2 - y2 — 2x + 4 = 0} a.nd {z = g(x) defined as {z - x2 - 2x + 2 = 0} respectively. Remaining three want to discuss on complex numbers. Each one of Avinash, Rohit and Bishal brought one complex number (z1 = 2 — i); (z2 = —2 + Vii) and (z3 = 2 — 2i) respectively. After reading the above informations answer any four of the following five questions. You have to choose correct option from four options given after each question: (i) For the function y = f (x) find the values of x for which it is defined. (a)VxER (b)Vx E {-2, 3} (c) Vx E (-2, 3] (d) Vx E (-2, 3) (ii) What will be the minimum value of z? (a) —1 (b) 2 (c) —2 (d) 1 (iii) What will be the value of 1z1 + z21 ? (a) 3 (b) v — 1 3 (c) i — 2 (d) /20 + 2.1g
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Five friends Rahul, Avinash, Shailesh, Rohit and Bishal are sitting in a park. Out of these Rahul and Shailesh brought functions given by {y= f (x) defined as x2 - y2 — 2x + 4 = 0} a.nd {z = g(x) defined as {z - x2 - 2x + 2 = 0} respectively. Remaining three want to discuss on complex numbers. Each one of Avinash, Rohit and Bishal brought one complex number (z1 = 2 — i); (z2 = —2 + Vii) and (z3 = 2 — 2i) respectively. After reading the above informations answer any four of the following five questions. You have to choose correct option from four options given after each question: (i) For the function y = f (x) find the values of x for which it is defined. (a)VxER (b)Vx E {-2, 3} (c) Vx E (-2, 3] (d) Vx E (-2, 3) (ii) What will be the minimum value of z? (a) —1 (b) 2 (c) —2 (d) 1 (iii) What will be the value of 1z1 + z21 ? (a) 3 (b) v — 1 3 (c) i — 2 (d) /20 + 2.1g
Answer:
Five friends Rahul, Avinash, Shailesh, Rohit and Bishal are sitting in a park. Out of these Rahul and Shailesh brought functions given by {y= f (x) defined as x2 - y2 — 2x + 4 = 0} a.nd {z = g(x) defined as {z - x2 - 2x + 2 = 0} respectively. Remaining three want to discuss on complex numbers. Each one of Avinash, Rohit and Bishal brought one complex number (z1 = 2 — i); (z2 = —2 + Vii) and (z3 = 2 — 2i) respectively. After reading the above informations answer any four of the following five questions. You have to choose correct option from four options given after each question: (i) For the function y = f (x) find the values of x for which it is defined. (a)VxER (b)Vx E {-2, 3} (c) Vx E (-2, 3] (d) Vx E (-2, 3) (ii) What will be the minimum value of z? (a) —1 (b) 2 (c) —2 (d) 1 (iii) What will be the value of 1z1 + z21 ? (a) 3 (b) v — 1 3 (c) i — 2 (d) /20 + 2.1g