Question

The distance between the points \((5 \cos \theta, 0)\) and \((0, 5 \sin \theta)\) is:

• A. 10
• B. 5
• C. 30
• D. 25

Hint:

Use the distance formula to calculate the distance between two points.

Answer 1

The Correct Option is B

The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Substituting the given points: \[ d = \sqrt{(0 - 5 \cos \theta)^2 + (5 \sin \theta - 0)^2} = 5 \]