Advertisements
Advertisements
प्रश्न
A line segment is of length 10 units. If the coordinates of its one end are (2, −3) and the abscissa of the other end is 10, then its ordinate is
विकल्प
9, 6
3, −9
−3, 9
9, −6
उत्तर
It is given that distance between P (2,−3) and Q(10 , y) is 10.
In general, the distance between A(x1 , y1) and B(x2 , y2 ) is given by,
`AB^2 = (x_2 - x_1 )^2 + (y_2 - y_1 )^2`
So,
`10^2 = (10 - 2)^2 + (y + 3)^2`
On further simplification,
`(y + 3 )^2 = 36`
`y = -3+-6`
`= -9 , 3`
We will neglect the negative value. So,
` y= -9 , 3`
APPEARS IN
संबंधित प्रश्न
If the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k − 1, 5k) are collinear, then find the value of k
On which axis do the following points lie?
R(−4,0)
Find the coordinates of the circumcentre of the triangle whose vertices are (3, 0), (-1, -6) and (4, -1). Also, find its circumradius.
A (3, 2) and B (−2, 1) are two vertices of a triangle ABC whose centroid G has the coordinates `(5/3,-1/3)`Find the coordinates of the third vertex C of the triangle.
Find the coordinates of the points which divide the line segment joining the points (-4, 0) and (0, 6) in four equal parts.
If the poin A(0,2) is equidistant form the points B (3, p) and C (p ,5) find the value of p. Also, find the length of AB.
If the point P (2,2) is equidistant from the points A ( -2,K ) and B( -2K , -3) , find k. Also, find the length of AP.
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 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).
If A(−3, 5), B(−2, −7), C(1, −8) and D(6, 3) are the vertices of a quadrilateral ABCD, find its area.
What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?
If the distance between points (x, 0) and (0, 3) is 5, what are the values of x?
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?
If A (2, 2), B (−4, −4) and C (5, −8) are the vertices of a triangle, than the length of the median through vertex C is
The ratio in which the line segment joining P (x1, y1) and Q (x2, y2) is divided by x-axis is
Find the point on the y-axis which is equidistant from the points (5, −2) and (−3, 2).
Write the X-coordinate and Y-coordinate of point P(– 5, 4)
Signs of the abscissa and ordinate of a point in the second quadrant are respectively.
Seg AB is parallel to X-axis and coordinates of the point A are (1, 3), then the coordinates of the point B can be ______.
Distance of the point (6, 5) from the y-axis is ______.
