Simplification Questions

• If a : b = c : d = 1 : 6, then what is the value of a2+c2b2+d2 ?
• For x > 0, what is the minimum value of x + x+22x ?
• If 1/3(12x/5 - 1/2) + 6/5 = 7/6, then what is the value of x?
• If a - b = 10 and ab =-21, then what is the value of a3-b3 ?
• What is the reflection of the point (5, -2) in the line y = -1?
• ax + 3y = 6 has slope -2/3. What is the value of a?
• What is the value of Sin 30° + 2 Cos 30° ?
• Δ XYZ is right angled at Y. If m∠Z = 60°, what is the length of YZ (in cm), if ZX = 3√3 cm?
• If Sec θ = 13/12, then Cot θ = ?
• If 7x - (3/2) * (4x - 9) = 6.5, then the value of x is?
• If a + b = 8 and ab = 15, then what is the value of a3 + b3?
• Point A (4 , 2) divides segment BC in the ratio 2:5. Co-ordinates of B are (2 , 6) and C are (7 , y). What is the value of y?
• Tan 45° + Cosec 60° =
• ΔXYZ is right angled at Y. If m∠Z = 60°, then Cosec X =
• If Cosec θ = 17/8, then Cot θ = ?
• What is the area (in sq cm) of a regular hexagon of side 9 cm?
• If 2/3(6x/5 - 1/4) + 1/3 = 9x/5, then what is the value of x?
• What is the value of Cot 45°+ 1/3 Cosec 60° ?
• Δ DEF is right angled at E. If m∠F = 45, then what is the value of Sin F x Tan F?
• If Cot θ = 21/20, then what is the value of Sec θ?