NCERT Maths Class 10
Coordinate geometry
Exercise-7.3
Coordinate geometry
Exercise-7.3
Question 1:
Find the area of the triangle whose vertices are: (i) (2, 3), (− 1, 0), (2, − 4) (ii) (− 5, − 1), (3, − 5), (5, 2)
Sol.
Question 2:
In each of the following find the value of ‘k’, for which the points are collinear.
(i) (7, − 2), (5, 1), (3, − k) (ii) (8, 1), (k, − 4), (2, − 5)
Sol.
Question 3:
Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, − 1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.
Sol.
Question 4:
Find the area of the quadrilateral whose vertices, taken in order, are(−4, −2), (−3, −5), (3, −2) and (2, 3)
Sol.
Question 5:
You have studied in Class IX that a median of a triangle divides it into two triangles of equal areas. Verify this result for ΔABC whose vertices are A (4, − 6), B (3, − 2) and C (5, 2)
Sol.
