Given points P(2, 5) and Q(4, 7). A variable point R(x, y) moves such that 5|PR| = 3|QR|.

May 20, 2026Computer Science

ScanSolve AI Answer

May 20, 2026

Answer

3|\vec{QR}|$.

Here are the solutions to the problems.

1. Locus of R Given points $P(2, 5)$ and $Q(4, 7)$ . A variable point $R(x, y)$ moves such that $5|\vec{PR}| = 3|\vec{QR}|$ .

Step 1: Write the distance formulas for $|\vec{PR}|$ and $|\vec{QR}|$ . $|\vec{PR}| = \sqrt{(x-2)^2 + (y-5)^2}$ $|\vec{QR}| = \sqrt{(x-4)^2 + (y-7)^2}$ Step 2: Substitute these into the given equation $5|\vec{PR}| = 3|\vec{QR}|$ .

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Quick Answer

Write the distance formulas for |PR| and |QR|.

Asked on May 20, 2026Computer Science

This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.

ScanSolve AI AnswerAnswered on May 20, 2026

Here are the solutions to the problems. 1. Locus of R Given points P(2, 5) and Q(4, 7). A variable point R(x, y) moves such that 5|PR| = 3|QR|. Step 1: Write the distance formulas for |PR| and |QR|. |PR| = sqrt((x-2)^2 + (y-5)^2) |QR| = sqrt((x-4)^2 + (y-7)^2) Step 2: Substitute these into the given equation 5|PR| = 3|QR|.