Question: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). Extra Questions for Class 10 Maths Chapter 7 Long Answer Type Question:Find the coordinates of the point which divides the line joining of (- 1, 7) and (4, – 3) in the ratio 2 : 3. ⇒ 3x + y – 5 = 0, which is the required relation. Solution:Let P(x, y) be equidistant from the points A(3, 6) and B(-3, 4) Question:Find a relation between x and y such that the point (x, y) is equidistant from the point (3,6) and (-3, 4). Squaring both sides, we have, Qp 2 = QR 2 Since, point Q(0, 1) is equidistant from P(5, -3) and R(x, 6). Question:If Q(0, 1) is equidistant from P(5,-3) and R(x, 6) find the value of x. If the coordinates of its one end are (2, -3) and the abscissa of the other end is 10, find its ordinate. Question:Find the value of y for which the distance between the points P(2, -3) and Q(10, y) is 10 units.Ī line segment is of length 10 units. Hence, four sides of quadrilateral are equal and diagonals AC and BD are also equal. Question:Name the type of quadrilateral formed, if any, by the following points, and give reasons for Here, x 1 = a and x 2 = -a y 1 = b and y 2 = -b (ii) Let two given points be A (a,b) and B(-a, -b) (i) Let two given points be A (-5, 7) and B (-1, 3). Question:Find the distance between the following pairs of points: Question:Determine, if the points (1, 5), (2, 3) and (-2, -11) are collinear. ∴ P(0, 2) does not lie on the perpendicular bisector of AB. State true or false and justify your answer.
Question:Point P (0, 2) is the point of intersection of y-axis and perpendicular bisector of line segment joining the points, A (-1, 1) and B (3, 3). Show that ∆ABC with vertices A(-2, 0), B(0, 2) and C(2, 0) is similar to ∆DEF with vertices D(-4, 0), F(4,0) and E(0, 4). Points of trisection of line segment AB are given by
Question:Point P (5, -3) is one of the two points of trisection of the line segment joining the points A (7, -2) and B (1, -5). Question:Find the ratio in which the line segment joining the points P (3, -6) and Q (5,3) is divided by the x-axis. 6.8, if A(-1, 3), B(1, -1) and C (5, 1) are the vertices of a triangle ABC, what is the length of the median through vertex A? Solution: Extra Questions for Class 10 Maths Chapter 7 Short Answer Type Question:What is the distance between the points (10 cos 30°, 0) and (0, 10 cos 60°)? Question:Find the values of x for which the distance between the points P (2, -3) and Q (x, 5) is 10. Since, (x, 0) is equidistant from the points (-3, 4) and (2, 5). Question:Write the coordinates of a point on x-axis which is equidistant from the points (-3, 4) and (2, 5). Question:If the points A (1, 2), B (0, 0) and C (a, b) are collinear, then what is the relation between a and b? Question:If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k? Question:Find the distance of the point (-6,8) from the origin. Question:Find distance between the points (0, 5) and (-5, 0).