Advertisements
Advertisements
प्रश्न
The coordinates of the point on X-axis which are equidistant from the points (−3, 4) and (2, 5) are
पर्याय
(20, 0)
(−23, 0)
- \[\left( \frac{4}{5}, 0 \right)\]
None of these
उत्तर
Let the point be A(a,0) be equidistant from the two given points P (−3, 4) and Q (2, 5).
So applying distance formula, we get,
`AP^2 = AQ^2`
Therefore,
`(a + 3)^2 + (-4)^2 = (a - 2)^2 + 5^2`
10a = 4
` a = 2/5`
Hence the co-ordinates of A are `(2/5 , 0)`
APPEARS IN
संबंधित प्रश्न
A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, –5) is the mid-point of PQ, then find the coordinates of P and Q.
Find the equation of the perpendicular bisector of the line segment joining points (7, 1) and (3,5).
Find the coordinates of the point which divides the line segment joining (−1,3) and (4, −7) internally in the ratio 3 : 4
Show that the following points are the vertices of a rectangle.
A (2, -2), B(14,10), C(11,13) and D(-1,1)
Find the ratio in which the point (-1, y) lying on the line segment joining points A(-3, 10) and (6, -8) divides it. Also, find the value of y.
Find the point on x-axis which is equidistant from points A(-1,0) and B(5,0)
Show that A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are the vertices of a
rhombus ABCD.
If the point P(x, 3) is equidistant from the point A(7, −1) and B(6, 8), then find the value of x and find the distance AP.
Show that A (−3, 2), B (−5, −5), C (2,−3), and D (4, 4) are the vertices of a rhombus.
Find the value of a for which the area of the triangle formed by the points A(a, 2a), B(−2, 6) and C(3, 1) is 10 square units.
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.
If the centroid of the triangle formed by points P (a, b), Q(b, c) and R (c, a) is at the origin, what is the value of a + b + c?
Write the ratio in which the line segment doining the points A (3, −6), and B (5, 3) is divided by X-axis.
What is the distance between the points A (c, 0) and B (0, −c)?
If the area of the triangle formed by the points (x, 2x), (−2, 6) and (3, 1) is 5 square units , then x =
The distance of the point (4, 7) from the y-axis is
The ratio in which the line segment joining points A (a1, b1) and B (a2, b2) is divided by y-axis is
What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)?
A point both of whose coordinates are negative will lie in ______.
The coordinates of the point where the line 2y = 4x + 5 crosses x-axis is ______.
