Locus — Important Questions
ICSE · Class 10 · Mathematics
37 important questions from Locus for ICSE Class 10 Mathematics, with answers. Includes multiple choice, true false and multiple correct questions.
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In triangle ABC, the locus of points equidistant from sides AB and AC is:
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The angle bisector of angle A
The locus of points equidistant from two intersecting lines (sides AB and AC) is the angle bisector. Since AB and AC intersect at vertex A, the angle bisector of angle A contains all points equidistant from these two sides.
The perpendicular distance from any point on the locus to two given points is always equal.
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True
This statement is true for the perpendicular bisector locus. By definition, the perpendicular bisector of a line segment is the locus of all points equidistant from the endpoints. Every point on this locus has equal distance to both given points.
A wheel of radius 10 cm rolls on a straight road. The locus of the center of the wheel is a line parallel to the road at distance:
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10 cm
When a wheel rolls on a straight road, its center maintains a constant distance from the road equal to the radius of the wheel. Since the wheel has radius 10 cm, the center's locus is a line parallel to the road at distance 10 cm above it.
Points P and Q are 12 cm apart. How many points are exactly 5 cm away from both P and Q?
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