Challenging Questions Mathematics – Compulsory Part Learning Unit: Equations of circles Question M0-13-07 The coordinates of \(A\) and \(B\) are \((x_1, y_1)\) and \((x_2, y_2)\) respectively. \(AB\) is the diameter of a circle. Using the following independent methods, show that the equation of this circle is given by: \( (x – x_1)(x – x_2) +... » read more
Challenging Questions Mathematics – Compulsory Part Learning Unit: Equations of circles Question M0-13-06 Given \(C_1: x^2 + y^2 + 4x – 6y + 9 = 0\) and \(C_2: x^2 + y^2 – 2x + 6y – 51 = 0\). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: Equations of circles Question M0-13-05 The points \(P, Q\) and \(R\) have coordinates \((-4, 0), (-4, -8)\) and \((14, -8)\) respectively. # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: Equations of circles Question M0-13-04 Given \(C_1: x^2 + y^2 – 10x + 8y – 59 = 0\) and \(C_2: x^2 + y^2 – 16x + 16y – 97 = 0\). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: Equations of circles Question M0-13-03 Let \(C\) be the circle \((x – h)^2 + (y – k)^2 = r^2\) and \(L\) be the tangents to \(C\) with slope \(m\). Find the equations of \(L\) in terms of \(h, k, r\) and \(m\). # More challenging questions will... » read more
Challenging Questions Mathematics – Compulsory Part Learning Unit: Equations of circles Question M0-13-02 Let \(C\) be the circle \(x^2 + y^2 – 2x + 6y + 1 = 0\) and \(L\) be the line \(x + y = 4\). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: Equations of circles Question M0-13-01 Consider two circles, \(C_1: x^2 + y^2 – 6x – 8y = 0\) \(C_2: x^2 + y^2 – 18x + 8y + 72 = 0\) # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-10 A bag contains 2 white balls (W) and 2 red balls (R). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-09 In a school, \(\frac{1}{8}\) of the students travel by bus, \(\frac{3}{8}\) by car, and the remaining students walk to school. The probabilities of being late are as follows: # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-08 We have n bags with the following compositions: A ball is drawn randomly from bag 1 and placed in bag 2. Then, a ball is drawn randomly from bag 2 and placed in bag 3. This process continues until a ball is... » read more
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-07 Ben and Ron play a badminton match consisting of multiple rounds. In each round, the probability of Ben winning is \(0.6\). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-06 Consider \(r\) distinct balls distributed uniformly at random into \(n\) distinct boxes, where \(n>r\). Calculate the probability that at least one box contains two or more balls. # More challenging questions will be updated # Answer