Simplification Questions

• If a - b = 4 and ab = -3, then what is the value of a3- b3 ?
• The distance between the points (2, 7) and (k, -5) is 13. What is the value of k?
• What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?
• D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 cm sq, what is the area (in sq cm) of quadrilateral BDEC?
• What is the value of Sin 30- √2 Cos 30
• ∆ XYZ is right angled at Y. If m ∠Z = 60. What is the length (in cm) of YZ, if ZX = 9√3 cm?
• If Sec θ = 13/12, then what is the value of Sin θ?
• Calculate the value of 0.77777 + 0.7777 + 0.777 + 0.77 + 0.7 + 0.07.
• A crate of egg holds one rotten egg out of every 25 egg in it. If 5 out of 8 rotten eggs are unusable and there are total 10 unusable eggs in the crate,then calculate the number of eggs in the crate.
• What is the area (in square units) of the figure enclosed by the x-axis, the y-axis and the line x + 2y = 6 ?
• Which of the following statement (s) is/are TRUE? I. 4√3 > 3√4 II. 8√2 > 2√8
• If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?
• What is the reflection of the point (5, -2) in the line x = -1?
• Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?
• What is the value of (1/2) Sec 30° + √2 Tan 60°?
• Δ DEF is right angled at E. If m∠D = 45°, then what is the value of cosecF X cotD?
• If Sec θ = 25/24 , then what is the value of Sin θ?
• What is the value of (cosec30 - 1/√3)?
• If C + 1C = 3 , then what is the value of C-37+1C7 ?
• If 2x+14x = 1 , then the value of x2+164x2 is