Coordinate Geometry serves as a vital bridge between Algebra and Geometry, providing a mathematical language to describe the position of points, lines, and shapes in a two-dimensional plane. For Class 10 students, this chapter is a scoring powerhouse, focusing on the Distance Formula and the Section Formula. Mastery of these concepts is not only essential for securing high marks in the Board exams but also forms the foundational bedrock for higher-level mathematics, including Calculus and Analytical Geometry in senior secondary classes.
The CBSE 2024-25 curriculum emphasizes practical application and logical reasoning. This practice quiz is meticulously designed to cover the entire spectrum of the NCERT syllabus, ranging from basic distance calculations to complex applications involving ratios and geometric properties of quadrilaterals. By solving these 30 targeted MCQs, students will enhance their speed, accuracy, and conceptual clarity, ensuring they are well-prepared for the Competency-Based Questions recently introduced in the board pattern.
30
Minutes
30
Questions
4 / -1
Marking
Q1. The distance of the point from the origin is:
3 units
4 units
5 units
7 units
Q2. The distance between the points and is:
6 units
8 units
4 units
2 units
Q3. If the distance between the points and is 5, then the value of is:
-7 or 1
7 or -1
7 or 1
-7 or -1
Q4. The point on the x-axis which is equidistant from and is:
Q5. The coordinates of the midpoint of the line segment joining the points and are:
Q6. The distance of the point from the x-axis is:
2 units
3 units
1 unit
5 units
Q7. The distance of the point from the y-axis is:
6 units
8 units
-6 units
10 units
Q8. If the distance between and is 5, then is:
4 only
only
0
Q9. A circle drawn with origin as the centre passes through . The point which does not lie in the interior of the circle is:
Q10. If is the midpoint of the segment joining and , then the value of 'a' is:
-4
-12
12
-6
Q11. The ratio in which the point divides the join of and is:
Q12. If , , and are the vertices of a parallelogram , then:
Q13. The point which divides the line segment joining the points and in the ratio internally lies in the:
I quadrant
II quadrant
III quadrant
IV quadrant
Q14. If is the midpoint of the line segment joining the points and , then the value of is:
-12
-4
12
-6
Q15. The point on x-axis is equidistant from and . Then coordinates of are:
...and 15 more challenging questions available in the interactive simulator.