We read your photo as:

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

Computer Science

ScanSolve AI Answer

Step-by-step solution

2 steps

Here are the solutions to the problems.

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

  1. Write the distance formulas for ∣PR⃗∣|\vec{PR}| and ∣QR⃗∣|\vec{QR}|.

    ∣PR⃗∣=(x−2)2+(y−5)2|\vec{PR}| = \sqrt{(x-2)^2 + (y-5)^2} ∣QR⃗∣=(x−4)2+(y−7)2|\vec{QR}| = \sqrt{(x-4)^2 + (y-7)^2}

  2. Substitute these into the given equation 5∣PR⃗∣=3∣QR⃗∣5|\vec{PR}| = 3|\vec{QR}|.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Computer Science Questions

QA point R moves such that 5PR = 3QR. If P=(2,5) and Q=(4,7), find the locus of R.QFind the locus of points R(x, y) such that the distance from R to P(2, 5) is three times the…QGiven points: P, R(3; 5), S(−3; −7), T(−5; k). Q(0; 5) is a point on the y-axis. PT || RS. RS cuts…QGiven points P(1, 3), Q(−2, 5), R(1, 7), and S(x, y), calculate vectors PQ, QR, PR and find the…QGiven points P(0, 3), Q(4, 1), R(2, −3), and S(−2, −1), show that PR = QS, determine the coordinates…
See all Computer Science questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp