Maths

Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of ΔABC. (i) The median from A meets BC at D. Find the coordinates of point D. (ii) Find the coordinates of the point P on AD such that AP: PD = 2:1 (iii) Find the coordinates of point Q and [...]

The vertices of triangle ABC are A (4, 6), B (1, 5) and C (7, 2). A line is drawn to intersect sides AB and AC at D and E respectively ,such that AB/AD = AC/AE = 4/1​. Calculate the area of the △ADE and compare it with the area △ABC ? 2). A line [...]

The two opposite vertices of a square are (−1,2) and (3,2). Find the coordinates of the other two vertices. 2) and (3 2). Find the coordinates of the other two vertices. The two opposite vertices of a square are (−1 October 5, 2020 Category: Chapter 7 - Coordinate Geometry , Maths , NCERT Class 10 [...]

Find the centre of a circle passing through the points (6,−6),(3,−7) and (3,3). −6 −7) and (3 3% Find the centre of a circle passing through the points (6 October 5, 2020 Category: Chapter 7 - Coordinate Geometry , Maths , NCERT Class 10 ,

Find the relation between x and y if the points (x,y), (1,2) and (7,0) are collinear. 0) are collinear. 1 2) and (7 Find the relation between x and y if the points (x y October 5, 2020 Category: Chapter 7 - Coordinate Geometry , Maths , NCERT Class 10 ,

Determine the ratio in which the line 2x + y -4 = 0 divides the line segment joining A(2, -2) and B(3, 7) -2) and B(3 7) Determine the ratio in which the line 2x + y -4 = 0 divides the line segment joining A(2 October 5, 2020 Category: Chapter 7 - Coordinate Geometry [...]

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). −2) and C(5 −6 2 B(3 that a median of a triangle divides it into two triangles of equal areas. Verify this result for [...]

Find the area of the quadrilateral whose vertices taken in order, are (−4,−2),(−3,−5),(3,−2) and (2,3). −2 −2) and (2 −3 −5) 3% are (−4 Find the area of the quadrilateral whose vertices taken in order October 5, 2020 Category: Chapter 7 - Coordinate Geometry , Maths , NCERT Class 10 ,

Find the area of the triangle formed by joining the mid-point 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. −1 1) and (0 2 3). Find the ratio of this area to the area of the given triangle. [...]

In each of the following find the value of k, for which the points are collinear. (8,1), (k,−4), (2,−5) −4) −5) 1 2 for which the points are collinear. (8 In each of the following find the value of k K October 5, 2020 Category: Chapter 7 - Coordinate Geometry , Maths , NCERT Class [...]