Simplification Questions

• ∆XYZ is right angled at Y. If tanX = 24/7, then what is the value of cotZ ?
• The value of x for which the expressions 5x + 17 and 17x - 5 become equal is _____.
• On dividing 111a2b2c2 by 37a2 , we get ______.
• If 5x - 4 ≤ 2 - x and 4x + 5 > 2x - 5, then x can take which of the following values?
• The co-ordinates of the centroid of a triangle ABC are (3,-2). What are the co-ordinates of vertex C if co-ordinates of A and B are (-2,5) and (6,-2) respectively?
• A triangular prism has 9 edges. How many vertices does it have?
• The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 12 sq cm, what is the area of the equilateral triangle?
• If sin - 4π/3 = x, then the value of x is
• When a number is increased by 28, it becomes 107% of itself. What is the number?
• If secA - tanA = x, then the value of x is
• If cos 45° - sec 60° = x, then the value of x is
• If (1 + cosA)/2 = x, then the value of x is
• If secA + tanA = x, then the value of x is
• A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?
• Find length of the arc whose central angle is 45° and radius of the circle is 28 cm?
• If (9 - 3x) - (17x - 10) = -1, then the value of x is
• If a - b = -7 and a2+ b2= 85 , then find ab.
• If 2x - 2(3 + 4x) < -1 - 2x > -5/3 - x/3; then x can take which of the following values?
• If 2cosAsinB = x, then the value of x is?
• Factors of 48x3- 8x2- 93x- 45 are