Advertisements
Advertisements
प्रश्न
If the points(x, 4) lies on a circle whose centre is at the origin and radius is 5, then x =
पर्याय
±5
±3
0
±4
Advertisements
उत्तर
It is given that the point A(x, 4) is at a distance of 5 units from origin O.
So, apply the distance formula to get,
`5^2 = (x)^2 + 4^2`
Therefore,
`x^2 = 9`
So,
`x = +- 3`
APPEARS IN
संबंधित प्रश्न
Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a right-angled isosceles triangle.
If (−2, 3), (4, −3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates of its centroid.
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:
(2, -2) and (-7, 4).
Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (-2, -1), (1, 0), (4, 3) and(1, 2) meet
Prove that (4, 3), (6, 4) (5, 6) and (3, 5) are the angular points of a square.
If three consecutive vertices of a parallelogram are (1, -2), (3, 6) and (5, 10), find its fourth vertex.
If the point A (4,3) and B ( x,5) lies on a circle with the centre o (2,3) . Find the value of x.
Find the possible pairs of coordinates of the fourth vertex D of the parallelogram, if three of its vertices are A(5, 6), B(1, –2) and C(3, –2).
The abscissa of any point on y-axis is
The perpendicular distance of the P (4,3) from y-axis is
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.
If the point P (m, 3) lies on the line segment joining the points \[A\left( - \frac{2}{5}, 6 \right)\] and B (2, 8), find the value of m.
Write the condition of collinearity of points (x1, y1), (x2, y2) and (x3, y3).
If the points P (x, y) is equidistant from A (5, 1) and B (−1, 5), then
If points A (5, p) B (1, 5), C (2, 1) and D (6, 2) form a square ABCD, then p =
The coordinates of the circumcentre of the triangle formed by the points O (0, 0), A (a, 0 and B (0, b) are
If point P is midpoint of segment joining point A(– 4, 2) and point B(6, 2), then the coordinates of P are ______
Abscissa of a point is positive in ______.
Find the coordinates of the point whose abscissa is 5 and which lies on x-axis.
