Simplification Questions

• What is the reflection of the point (5, 2) in the line x = -3?
• What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?
• Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?
• What is the value of √2 Sec 45 - Tan 30?
• ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/√3 Cosec C?
• Two labourers A and B are paid a total of Rs. 1120 per day. If A is paid 180 percent of what is paid to B, how much (in Rs) is B paid?
• If 5x/2 - [7(6x - 3/2)]/4 = 5/8, then what is the value of x?
• If a3- b3= 91 and a - b = 1, then what is the value of ab?
• What is the value of √2 Sec 45° + (1/√3)Tan 30°?
• If Cos θ = 15/17 , then what is the value of Cosec θ?
• If 17/3 + [3(2x - 5/3)]/2 = 1/6, then what is the value of x?
• If a + b = 5 and ab = 6, then what is the value of a3 + b3 ?
• The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?
• What is the slope of the line 2x - 5y = 12?
• What is the value of Cot 60 - Sec 30?
• If Cot θ = 24/7, then what is the value of Sec θ?
• The value of aa-b+bb-a is
• The value of (1 - √2) + (√2 - √3) + (√3 - √4) + ..... + (√15 - √16) is
• ΔABC and ΔDEF are two similar triangles and the perimeter of ΔABC and ΔDEF are 30 cm and 18 cm respectively. If length of DE = 36 cm, then length of AB is
• The value of (sec245 - cot245) - (sin230 + sin260) is