Hl revision1101
- 1. +919699990699,ersingh@hotmail.com HL 1. Find the domain of the following functions 5− 2 a. log 4 b. 4 − + − 5 c. log 2(log 2 (log2 )) 2. Solve the following inequalities without using GDC a. 2 − 5 < 6 b. 2 − 2 − 8 > 2 2−3 c. (.2) −2 > 5 3. Solve the following equations a. log −1 3 = 2 b. log 3(1 + log 3 (2 − 7)) = 1 c. log 3 3 − 8 = 2 − 4. Solve the system of equations log 4 − log 2 = 0 a. 2 − 4 2 + 4 = 0 log + log = 2.5 b. = 27 5. Solve the following equation a. 2 + 21− − 3 = 0 2 +2 −3 b. 2 +1 <0 Hansraj Sir (B.Tcech,Comp Sc. &Engg), IGCSE,A-LEVEL,IBDP,UNEVERSITIES(LSE,CU,NYU,UCL,......) Maths , Science, Computing
- 2. +919699990699,ersingh@hotmail.com HL 6. The circle have equation 2 + 2 + 4 − 6 = 7 The line with equation = − 3 intersects the circle. a. Show that x-coordinates of any point of intersection satisfy the equation 1 + 2 2 + 4 1 − 3 + 20 = 0 b. Show that the quadratic equation have equal roots when 22 − 3 − 2 = 0 c. Hence find the values of m for which the line is tangent to the circle. 7. The quadratic function = + − 2 has a maximum value of 5 When = 3 a. Find the value of p and the value of q. b. The graph of () is translated 3 unit in the positive direction parallel to the x-axis. Determine the equation of the new graph. M11/MATHL/HP1/TZ2 8. 1 A function is defined by ℎ = 2 − . Find ℎ−1 (). M11/MATHL/HP1/TZ2 9. An A.P. has first term a and common difference d . The thirds fourth and seventh Terms of A.P. are first three term of the G.P. 3 a. Show that = − 2 . b. Show that the 4th term of the G.P. is the 16th of the A.P. M11/MATHL/HP1/TZ2 Hansraj Sir (B.Tcech,Comp Sc. &Engg), IGCSE,A-LEVEL,IBDP,UNEVERSITIES(LSE,CU,NYU,UCL,......) Maths , Science, Computing
- 3. +919699990699,ersingh@hotmail.com HL Hansraj Sir (B.Tcech,Comp Sc. &Engg), IGCSE,A-LEVEL,IBDP,UNEVERSITIES(LSE,CU,NYU,UCL,......) Maths , Science, Computing