Advertisements
Advertisements
प्रश्न
In what ratio does y-axis divide the line segment joining the points (-4, 7) and (3, -7)?
Advertisements
उत्तर
Let y-axis divides the e segment pining the points ( -4,7) and (3,- 7) in the ratio K : 1 Then
`0= (3k-4)/(k+1) `
`⇒ 3k = 4`
`⇒ k = 4/3 `
Hence, the required ratio is 4:3
APPEARS IN
संबंधित प्रश्न
Prove that the points (3, 0), (4, 5), (-1, 4) and (-2, -1), taken in order, form a rhombus.
Also, find its area.
Find the points of trisection of the line segment joining the points:
(3, -2) and (-3, -4)
In what ratio is the line segment joining the points (-2,-3) and (3, 7) divided by the y-axis? Also, find the coordinates of the point of division.
Show that the following points are the vertices of a square:
A (6,2), B(2,1), C(1,5) and D(5,6)
If (2, p) is the midpoint of the line segment joining the points A(6, -5) and B(-2,11) find the value of p.
ABCD is a rectangle whose three vertices are A(4,0), C(4,3) and D(0,3). Find the length of one its diagonal.
Prove that the diagonals of a rectangle ABCD with vertices A(2,-1), B(5,-1) C(5,6) and D(2,6) are equal and bisect each other
Find the point on x-axis which is equidistant from points A(-1,0) and B(5,0)
If the points A(4,3) and B( x,5) lie on the circle with center O(2,3 ) find the value of x .
Find the coordinates of the circumcentre of a triangle whose vertices are (–3, 1), (0, –2) and (1, 3).
Show that the points (−4, −1), (−2, −4) (4, 0) and (2, 3) are the vertices points of a rectangle.
Find the value(s) of k for which the points (3k − 1, k − 2), (k, k − 7) and (k − 1, −k − 2) are collinear.
If the points A(−1, −4), B(b, c) and C(5, −1) are collinear and 2b + c = 4, find the values of b and c.
Find the value of a so that the point (3, a) lies on the line represented by 2x − 3y + 5 = 0
If the points P (x, y) is equidistant from A (5, 1) and B (−1, 5), then
In Fig. 14.46, the area of ΔABC (in square units) is

What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)?
Students of a school are standing in rows and columns in their playground for a drill practice. A, B, C and D are the positions of four students as shown in figure. Is it possible to place Jaspal in the drill in such a way that he is equidistant from each of the four students A, B, C and D? If so, what should be his position?
If the coordinates of the two points are P(–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is ______.
A tiling or tessellation of a flat surface is the covering of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. Historically, tessellations were used in ancient Rome and in Islamic art. You may find tessellation patterns on floors, walls, paintings etc. Shown below is a tiled floor in the archaeological Museum of Seville, made using squares, triangles and hexagons.

A craftsman thought of making a floor pattern after being inspired by the above design. To ensure accuracy in his work, he made the pattern on the Cartesian plane. He used regular octagons, squares and triangles for his floor tessellation pattern

Use the above figure to answer the questions that follow:
- What is the length of the line segment joining points B and F?
- The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z?
- What are the coordinates of the point on y-axis equidistant from A and G?
OR
What is the area of Trapezium AFGH?
