Advertisements
Advertisements
प्रश्न
Find the points on the x-axis, each of which is at a distance of 10 units from the point A(11, –8).
Advertisements
उत्तर
Let P(x, 0) be the point on the x-axis.
Then as per the question we have
AP = 10
`\implies sqrt((x - 11)^2 + (0 + 8)^2` = 10
`\implies` (x – 11)2 + 82 = 100 ...(Squaring both sides)
`\implies` ( x – 11)2 = 100 – 64
`\implies` ( x – 11)2 = 36
`\implies` x – 11 = ±6
`\implies` x - 11 = 6 or x - 11 = -6
`\implies` x = 6 + 11 or x = -6 + 11
`\implies` x = 17 or x = 5
Hence, the points on the x-axis are (17, 0) and (5, 0).
संबंधित प्रश्न
How will you describe the position of a table lamp on your study table to another person?
If A(–2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence find the lengths of its sides
Determine the ratio in which the straight line x - y - 2 = 0 divides the line segment
joining (3, -1) and (8, 9).
Find the ratio in which the line segment joining (-2, -3) and (5, 6) is divided by y-axis. Also, find the coordinates of the point of division in each case.
Find the coordinates of the points which divide the line segment joining the points (-4, 0) and (0, 6) in four equal parts.
Determine the ratio in which the point (-6, a) divides the join of A (-3, 1) and B (-8, 9). Also, find the value of a.
Find the points on the y-axis which is equidistant form the points A(6,5) and B(- 4,3)
In what ratio does the line x - y - 2 = 0 divide the line segment joining the points A (3, 1) and B (8, 9)?
If A(−3, 5), B(−2, −7), C(1, −8) and D(6, 3) are the vertices of a quadrilateral ABCD, find its area.
Find the value of k, if the points A (8, 1) B(3, −4) and C(2, k) are collinear.
If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?
If A (1, 2) B (4, 3) and C (6, 6) are the three vertices of a parallelogram ABCD, find the coordinates of fourth vertex D.
The distance between the points (a cos 25°, 0) and (0, a cos 65°) is
If three points (0, 0), \[\left( 3, \sqrt{3} \right)\] and (3, λ) form an equilateral triangle, then λ =
The area of the triangle formed by (a, b + c), (b, c + a) and (c, a + b)
If points (t, 2t), (−2, 6) and (3, 1) are collinear, then t =
If Points (1, 2) (−5, 6) and (a, −2) are collinear, then a =
The distance of the point P(2, 3) from the x-axis is ______.
Signs of the abscissa and ordinate of a point in the second quadrant are respectively.
Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4) ______.
