Class 10 · ICSE · Mathematics

Section and Distance Formula

Distance between two points, section formula, midpoint and centroid of a triangle.

Questions: 16
PYQs: 0
Topics: 2

Syllabus mapping: ICSE syllabus (CISCE)

All questions Practise this chapter

Topics in this chapter

Narrow to a single topic to practise one idea at a time.

Distance Formula1 Section and Midpoint Formula1

Questions

16 questions in this chapter.

Answer available
Class 10 · Mathematics · Section and Distance Formula
The midpoint of the segment joining A(2, k) and B(6, 8) is (4, 5). Find k.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Section and Distance Formula
Find k if the distance between (2, −3) and (10, k) is 10 units.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Section and Distance Formula
Find the centroid of the triangle whose vertices are (1, 2), (3, −4) and (5, 8).
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Section and Distance Formula
The points A(1, 2), B(5, 2) and C(5, 6) are three vertices of a rectangle ABCD. Find the coordinates of D and the length of the diagonal AC.
4 marksHardStructured
Answer available
Class 10 · Mathematics · Section and Distance Formula
Find the coordinates of the point that divides the join of (1, 2) and (7, 11) internally in the ratio 1 : 2.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Section and Distance Formula
The distance of the point (5, 12) from the origin is:
1 markEasyMCQ
Answer available
Class 10 · Mathematics · Section and Distance Formula
Show that the points (1, 1), (4, 4) and (6, 6) are collinear using the distance formula.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Section and Distance Formula
Find the ratio in which the x-axis divides the line segment joining (2, −3) and (5, 6).
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Section and Distance Formula
The midpoint of the segment joining (a, b) and (c, d) is:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Section and Distance Formula
Find the distance between the points (2, 3) and (6, 6).
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Section and Distance Formula
Find the ratio in which the point (−4, 6) divides the line segment joining A(−6, 10) and B(3, −8).
4 marksHardNumerical
Answer available
Class 10 · Mathematics · Section and Distance Formula
Find the midpoint of the segment joining (−2, 5) and (6, −1).
2 marksEasyNumerical

See all 16 questions