Compare (1) and (2): = 16 = 4 OR = 4 a2 a a – = 9 = 3 OR = 3 b2 b b – Step 2: To draw the X-intercepts: (4 ; 0) and (–4 ; 0) Y-intercepts: (0 ; 3) and (0 ; –3) Major axis: The -axis. Major axis = 8 units x axis: The Minor axis = 6 units y-axis. Foci: = c2 a2 b2 – 16 9 = – = c F1 ( ; 0) ; F2 ( ; 0) b) 2x2 + = 10 Begin by dividing both sides of the equation by 10 to y2 obtain the standard form: + = i.e: + = 1 Since 10 > 5, it implies that the is the major axis. y-axis = 10 ; = 5 a2 b2 Intercepts: X-axis: ( ; 0) ; ( ; 0) Y-axis: (0 ; ) ; (0 ; ) Minor axis: 2 Major axis: 2 Foci: c2= a2 b2 – = 10 5 – = 5 = c F1 (0 ; ) ; F2 (0 ; ) Activity 4 1. In each of the following, determine: The intercepts with the axes; The coordinates of the foci;
Compare (1) and (2): a2 = 16 a = 4 OR a = – 4 b2 = 9 b = 3 OR b = – 3 Step 2: To draw the X-intercepts: (4 ; 0) and (–4 ; 0) Y-intercepts: (0 ; 3) and (0 ; –3) Major axis: The x -axis. Major axis = 8 units axis: The y-axis. Minor axis = 6 units Foci: c2 = a2 – b2 = 16 – 9 c = F1 ( ; 0) ; F2 ( ; 0) b) 2x2 + y2 = 10 Begin by dividing both sides of the equation by 10 to obtain the standard form: i.e: + = + = 1 Since 10 > 5, it implies that the y-axis is the major axis. a2 = 10 ; b2 = 5 Intercepts: X-axis: ( ; 0) ; ( ; 0) Y-axis: (0 ; ) ; (0 ; ) Minor axis: 2 Major axis: 2 Foci: c2= a2 – b2 = 10 – 5 = 5 c = F1 (0 ; ) ; F2 (0 ; ) Activity 4 1. In each of the following, determine: The intercepts with the axes; The coordinates of the foci;
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