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$P$ is a moving point on the circle $x^2+y^2=4$. $Q$ divide $PN$ ($N$ is foot of perpendicular) in the ratio $1:2$, then locus of $Q$ is

score 110 · Answer 1 · 2024-01-03 10:11:59

110

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$P$ is a moving point on the circle $x^2+y^2=4$. $Q$ divide $PN$ ($N$ is foot of perpendicular) in the ratio $1:2$, then locus of $Q$ is

Published on 03 Jan 2024 - 10:11

score 84 · Answer 2 · 2026-03-25 17:38:10

84

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40

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59

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42

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28

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List Question

$P$ is a moving point on the circle $x^2+y^2=4$. $Q$ divide $PN$ ($N$ is foot of perpendicular) in the ratio $1:2$, then locus of $Q$ is

Finding Lamé coefficients (scale factors) for the curves

Coordinate System from a 3D unit vector

Calculate $3D$ coordinates of a vector based on $3$ angles relative to the $xyz$ axis and vector length

Constant latitude path vs great circle path (geodesic) on a sphere

Interconvertibility of formula from transverse hyperbola to conjugate hyperbola

Moving Eyespace/Camera around Globalspace

nabla in spherical coordinates using tensor transformation rule

Is there any equation to represent a system of confocal parabolas on $X$ axis?

Converting from a global coordinate system to a face local coordinate system

Find $x$ such that $\cosh(a + bx) + 1 = cx$

Solving for $u$ and $v$ in the 2D Jacobian

Analyzing the Existence of Local Coordinates and Vector Fields on Manifolds in the Context of Partial Differential Equations

Can a triangle $ABC$ be translated onto another triangle $PQR$ in multiple ways?

Number of positive and negative eigenvalues

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