Advertisements
Advertisements
प्रश्न
Find the point on the y-axis which is equidistant from the points (5, −2) and (−3, 2).
Advertisements
उत्तर
Since the point is on the y-axis so, X-coordinate is zero.
Let the point be (0, y)
Its distance from (5, –2) and (–3, 2) are equal
∴ `sqrt((0 -5)^2 + (y+2)^2) = sqrt((0+3)^2 + (y -2)^2)`
⇒ `25 + y^2 + 4y + 4 = 9 + y^2 - 4y + 4 ....["squaring both sides"]`
⇒ `4y + 29 = -4y + 13`
⇒ `4y + 4y = 13 - 29`
⇒`8y = (-16)/(8) = -2`
Thus, the point is (0,-2)
संबंधित प्रश्न
If p(x , y) is point equidistant from the points A(6, -1) and B(2,3) A , show that x – y = 3
Show that the following points are the vertices of a rectangle.
A (2, -2), B(14,10), C(11,13) and D(-1,1)
Points P, Q, R and S divide the line segment joining the points A(1,2) and B(6,7) in five equal parts. Find the coordinates of the points P,Q and R
Find the coordinates of the points of trisection of the line segment joining the points (3, –2) and (–3, –4) ?
Find the coordinates of the centre of the circle passing through the points P(6, –6), Q(3, –7) and R (3, 3).
Write the ratio in which the line segment joining points (2, 3) and (3, −2) is divided by X axis.
The perimeter of the triangle formed by the points (0, 0), (0, 1) and (0, 1) is
The line segment joining points (−3, −4), and (1, −2) is divided by y-axis in the ratio.
What are the coordinates of origin?
If the coordinate of point A on the number line is –1 and that of point B is 6, then find d(A, B).
