Advertisements
Advertisements
Question
If the points(x, 4) lies on a circle whose centre is at the origin and radius is 5, then x =
Options
±5
±3
0
±4
Advertisements
Solution
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
RELATED QUESTIONS
Prove that the points (−2, 5), (0, 1) and (2, −3) are collinear.
Find the points of trisection of the line segment joining the points:
(3, -2) and (-3, -4)
The line segment joining A( 2,9) and B(6,3) is a diameter of a circle with center C. Find the coordinates of C
Find the centroid of ΔABC whose vertices are A(2,2) , B (-4,-4) and C (5,-8).
Find the coordinates of the centre of the circle passing through the points P(6, –6), Q(3, –7) and R (3, 3).
Two points having same abscissae but different ordinate lie on
Show that the points (−4, −1), (−2, −4) (4, 0) and (2, 3) are the vertices points of a rectangle.
Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division.
If A(−3, 5), B(−2, −7), C(1, −8) and D(6, 3) are the vertices of a quadrilateral ABCD, find its area.
If the vertices of a triangle are (1, −3), (4, p) and (−9, 7) and its area is 15 sq. units, find the value(s) of p.
Find the area of a parallelogram ABCD if three of its vertices are A(2, 4), B(2 + \[\sqrt{3}\] , 5) and C(2, 6).
Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1 : 5.
Write the formula for the area of the triangle having its vertices at (x1, y1), (x2, y2) and (x3, y3).
If P (2, 6) is the mid-point of the line segment joining A(6, 5) and B(4, y), find y.
If the distance between the points (3, 0) and (0, y) is 5 units and y is positive. then what is the value of y?
What is the distance between the points \[A\left( \sin\theta - \cos\theta, 0 \right)\] and \[B\left( 0, \sin\theta + \cos\theta \right)\] ?
If x is a positive integer such that the distance between points P (x, 2) and Q (3, −6) is 10 units, then x =
The distance of the point (4, 7) from the y-axis is
The coordinates of the fourth vertex of the rectangle formed by the points (0, 0), (2, 0), (0, 3) are
A line intersects the y-axis and x-axis at P and Q , respectively. If (2,-5) is the mid-point of PQ, then the coordinates of P and Q are, respectively
