ICSE Class 10 Locus — Mock Test (2027)

Free online mock test for Locus (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.

Sample questions

1. 1.Using ruler and compasses only, the diagram below shows the construction of a rhombus ABCD whose diagonals AC and BD are 8 cm and 6 cm long respectively. A point P is found by construction such that it is equidistant from AB, AD and also equidistant from C and D. Which labelled part in the diagram represents the point P that satisfies the given conditions?
   • A.The intersection of diagonal AC and the perpendicular bisector of CD
   • B.The intersection of diagonals AC and BD
   • C.The midpoint of diagonal AC
   • D.The intersection of side AB and the angle bisector of angle BAD
2. 2.Which of the following statement is correct:
   • A.A point $Q$ moving in a plane about a fixed line as on are with same centre.
   • B.A moving point $Q$ in a plane about another point in such a way that its distance is constant.
   • C.A point equidistant from two fixed non-parallel $AB$ and $CD$ in the same plane.
   • D.A point $Q$ moving in a plane about another point in such a way that its distance from a fixed line $AB$ is constant.
3. 3.Locus of a point whose distance from origin is always equal to is:
   • A.$a^2 + b^2 = 2$
   • B.$a^2 - b^2 = 4$
   • C.$a^2 + b^2 = 4$
   • D.$a^2 - b^2 = 2$
4. 4.$AB$ is a fixed line. Which of the following is the locus of the point $P$ so that $\angle APB = 90^{\circ}$.
   • A.Sphere
   • B.Cube
   • C.Circle
   • D.Line
5. 5.The locus of a point equidistant from two points $p$ and $q$ in the same plane is called:
   • A.Straight line
   • B.Circle
   • C.Angle
   • D.Perpendicular bisector