Simplification Questions

• At what point does the line 2x - 3y = 6 cuts the Y axis?
• What is the value of Cot 45° + Cosec 60°?
• Δ LMN is right angled at M. If m∠N = 60°, then Tan L =______.
• If Tan θ = 4/3, then what is the value of Sin θ?
• If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?
• If a + b = 4 and ab = 3, then what is the value of a3 + b3 ?
• At what point does the line 2x + 5y = -6 cuts the X-axis?
• What is the value of Tan 45° + 4/√3 Sec 60°?
• If Sin θ = 20/29, then what is the value of Cos θ?
• If 5x - (1/2)(2x -7) = 5.5, then what is the value of x?
• If a + b = 4 and ab = -5, then what is the value of a3 + b3 ?
• The sum of a number and 4 times its reciprocal is 5. What is the number?
• The 3rd and 8th term of an arithmetic progression are -13 and 2 respectively. What is the 14th term?
• What is the reflection of the point (4 , -3) in the line y = 1?
• At what point does the line 3x + 2y = 12 cuts the Y-axis?
• The areas of two similar triangles ΔABC and ΔPQR are 121 sq cms and 64 sq cms respectively. If PQ = 12 cm, what is the length (in cm) of AB?
• What is the value of Tan 60 + Cosec 60?
• Δ XYZ is right angled at Y. If m∠Z = 60°, then what is the value of (1/√2) Sec X?
• If x/3 - [5(7x/5 - 4/3)]/2 = -x/6, then what is the value of x?
• If a3+ b3 = 19 and a + b = 1, then what is the value of ab?