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AP EAMCET Coordinate Geometry: Locus — practice questions — page 2

Explore 42 free Coordinate Geometry: Locus questions in AP EAMCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Coordinate Geometry: Locus questions and exercises with answers

Showing questions 31–42 of 42.

Which phrase best defines the locus of a point?Read the answer and worked solution →In the old view, a circle was the locus of a point at a given distance fromRead the answer and worked solution →The set of critical points of a differentiable function is itsRead the answer and worked solution →The set of singular points of an algebraic variety is called itsRead the answer and worked solution →The Mandelbrot set is described as the connectedness locus of a family ofRead the answer and worked solution →The locus of the inequality 2x + 3y - 6 < 0 is the part of the planeRead the answer and worked solution →In one Apollonian family, each circle is the locus of points whose ratio of distances to two fixed points isRead the answer and worked solution →Every circle in one Apollonian family meets every circle of the other familyRead the answer and worked solution →Points equidistant from a focus and a directrix form aRead the answer and worked solution →A point P keeps a constant distance from a fixed point O in a plane. What is the locus of P?Read the answer and worked solution →A point moves so that it is always equidistant from A(2, 3) and B(4, 7). Which equation gives its locus?Read the answer and worked solution →With base AB fixed, medians from A and C stay perpendicular. C traces aRead the answer and worked solution →

Worked practice questions

Which phrase best defines the locus of a point?

  1. Any single point in a plane
  2. The longest line through a point
  3. The area enclosed by a curve
  4. All points satisfying a given condition
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Correct answer: D. All points satisfying a given condition

A locus is the set of every point whose position meets the specified condition and no others.

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In the old view, a circle was the locus of a point at a given distance from

  1. a fixed centre
  2. a tangent line
  3. a long diameter
  4. its circumference
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Correct answer: A. a fixed centre

A circle was defined as the path of a point staying a fixed distance from one fixed point, the centre.

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The set of critical points of a differentiable function is its

  1. zero locus
  2. critical locus
  3. singular locus
  4. vanishing locus
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Correct answer: B. critical locus

The critical locus is by definition the set of the critical points of a differentiable function.

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