Q. 1 A4.1( 14 Votes )
Find the co-ordinates of the point which divides the line segment joining two point s in the given ratio for the following:
(6, –4) and (–8, 10); in the ratio 3: 4 internally
Answer :
Let the co-ordinates of the point which divides the line segment be (x, y) –
And, we know, by section formula
(Where, m and n are the ratios, (x1, y1) and (x2, y2) are the coordinates of the line segment.)
⇒ x = 0
And,
⇒ y = 2
∴ the co-ordinates of the point which divides the line segment joining two point s in the given ratio is (0, 2).
Rate this question :
Champ Quiz | 2-Dimension( Coordinate geometry )36 mins
Basic Understanding of Coordinate Geometry33 mins
Basics of Coordinate Geometry43 mins
Doubt Session: Cell Structure, Division and Organelles49 mins
Know How to Solve Complex Geometry Problems!27 mins
Quiz | Division of Polynomials38 mins
Quiz | Imp. Qs. on Coordinate Geometry39 mins
Euclid's Geometry51 mins
Quiz | Euclid's Geometry44 mins
Coordinate Geometry45 mins
The co-ordinates of vertices of A, B, C of a triangle ABC are (–1, 3), (1, –1) and (5, 1) respectively, let us calculate the length of Median AD.
West Bengal MathematicsThe co-ordinates of end point s of a diameter of a circle are (7, 9) and (–1, –3). The co-ordinates of centre of circle is
West Bengal MathematicsThe point P lies on the line segment AB and AP = PB; the co-ordinates of A and B are (3, –4) and (–5, 2) respectively. Let us write the co-ordinates of point ?
West Bengal MathematicsThe co-ordinates of mid-point s of sides of a triangle are (4, 3), (–2, 7) and (0, 11). Let us calculate the co-ordinates of its vertices.
West Bengal MathematicsIf the point s P(1, 2), Q(4, 6), R(5, 7) and S(x, y) are the vertices of a parallelogram PQRS, then
West Bengal MathematicsThe co-ordinates of vertices of triangle are (2, –4), (6, –2) and (–4, 2) respectively. Let us find the length of three medians of triangle.
West Bengal Mathematics