Time Speed Distance

The point has coordinates , where is the horizontal distance and is the vertical distance from the origin. To find the distance of the point from the x-axis, we simply look at the y-coordinate, because the x-axis corresponds to . Thus, the distance of the point from the x-axis is the absolute value of the y-coordinate: Therefore, the correct answer is: 3

We are given that are in arithmetic progression (AP) and are in geometric progression (GP). Since are in AP, we know: Since are in GP, we know: Now, we need to evaluate the expression . Substituting the value of from the AP relation: Simplifying the exponents: Notice that the exponents of and are equal and opposite, and the exponent of is zero since it is the middle term in the progression. Therefore, the expression simplifies to: Thus, the value of the given expression is 1.