In a right-angled triangle ABC, AB = 15 cm, BC = 20 cm and AC = 25 cm. Further, BP is the perpendicular on AC. What is the difference in the area of triangles PAB and PCB?
Let the positive numbers \( a_{1}, a_{2}, a_{3}, \ldots, a_{3n} \) be in GP. If P is the GM of \( a_{1}, a_{2}, a_{3}, \ldots, a_{n} \) and Q is the GM of \( a_{n+1}, a_{n+2}, a_{n+3}, \ldots, a_{3n} \), then what is the GM of 3n numbers?
Let x be the compound interest at the end of 3 years on a sum of ₹ 1000 at the rate of 10% compounded annually and y be the simple interest at the end of 3 years on a sum of ₹ 1000 at the annual rate of 11%. What is the difference between x and y?
