Locus
ICSE · Class 10 · Mathematics
Flashcards for Locus — ICSE Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
What is a locus? Define with an example.
Answer
A locus is the path traced by a moving point under given conditions. For example, the locus of a point that moves at a constant distance from a fixed point is a circle with the fixed point as center a
What is the plural form of locus?
Answer
The plural of locus is loci.
State the two important properties of every locus.
Answer
1. Every point which satisfies the given conditions lies on the locus. 2. Every point which lies on the locus satisfies the given condition(s).
What is the locus of a point equidistant from two given points A and B?
Answer
The locus of a point equidistant from two given points is the perpendicular bisector of the line segment joining the two points.
What is the locus of a point equidistant from two intersecting lines?
Answer
The locus of a point equidistant from two intersecting lines is the pair of lines bisecting the angles formed by the given lines (angle bisectors).
What is the locus of a point at a fixed distance 'r' from a fixed point O?
Answer
The locus is a circle with center at the fixed point O and radius equal to the fixed distance 'r'.
What is the locus of a point equidistant from two parallel lines?
Answer
The locus is a straight line parallel to both the given lines and lying midway between them.
What is the locus of a point at a given distance 'd' from a straight line?
Answer
The locus consists of a pair of straight lines parallel to the given line, one on each side, at distance 'd' from it.
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What are the important topics in Locus for ICSE Class 10 Mathematics?
Locus covers several key topics that are frequently asked in ICSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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