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
Two vertices of an isosceles triangle are (2, 0) and (2, 5). Find the third vertex if the length of the equal sides is 3.
Find the point on x-axis which is equidistant from the points (−2, 5) and (2,−3).
Find the points of trisection of the line segment joining the points:
(3, -2) and (-3, -4)
Show hat A(1,2), B(4,3),C(6,6) and D(3,5) are the vertices of a parallelogram. Show that ABCD is not rectangle.
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.
The base QR of a n equilateral triangle PQR lies on x-axis. The coordinates of the point Q are (-4, 0) and origin is the midpoint of the base. Find the coordinates of the points P and R.
Find the area of quadrilateral PQRS whose vertices are P(-5, -3), Q(-4,-6),R(2, -3) and S(1,2).
Find the coordinates of the centre of the circle passing through the points P(6, –6), Q(3, –7) and R (3, 3).
The perpendicular distance of the point P (4, 3) from x-axis is
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 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.
Write the coordinates the reflections of points (3, 5) in X and Y -axes.
If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?
Write the formula for the area of the triangle having its vertices at (x1, y1), (x2, y2) and (x3, y3).
The distance between the points (a cos 25°, 0) and (0, a cos 65°) is
If the area of the triangle formed by the points (x, 2x), (−2, 6) and (3, 1) is 5 square units , then x =
f the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (−2, 5), then the coordinates of the other end of the diameter are

In the above figure, seg PA, seg QB and RC are perpendicular to seg AC. From the information given in the figure, prove that: `1/x + 1/y = 1/z`
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?
Assertion (A): Mid-point of a line segment divides the line segment in the ratio 1 : 1
Reason (R): The ratio in which the point (−3, k) divides the line segment joining the points (− 5, 4) and (− 2, 3) is 1 : 2.
