Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
It is given that distance between P (3, 0) and Q (0 , y) is 5.
In general, the distance between A`(x_1 , y_1 ) " and B "(x_2 , y_12)` is given by,
`AB^2 = (x_2 - x_1) ^2 + ( y_2 - y_1)^2`
So,
`5^2 = (0 -3)^2 + ( y - 0)^2`
On further simplification,
`y^2 = 16`
` y = +-4`
We will neglect the negative value. So,
y = 4
APPEARS IN
संबंधित प्रश्न
How will you describe the position of a table lamp on your study table to another person?
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?
S(0,5)
Which point on the y-axis is equidistant from (2, 3) and (−4, 1)?
Find the coordinates of the circumcentre of the triangle whose vertices are (3, 0), (-1, -6) and (4, -1). Also, find its circumradius.
Show that the points A(5, 6), B(1, 5), C(2, 1) and D(6,2) are the vertices of a square.
Find the equation of the perpendicular bisector of the line segment joining points (7, 1) and (3,5).
In what ratio does the point (−4, 6) divide the line segment joining the points A(−6, 10) and B(3,−8)?
If the points p (x , y) is point equidistant from the points A (5,1)and B ( -1,5) , Prove that 3x=2y
The line segment joining the points A(3,−4) and B(1,2) is trisected at the points P(p,−2) and Q `(5/3,q)`. Find the values of p and q.
In what ratio does the point P(2,5) divide the join of A (8,2) and B(-6, 9)?
If the points P (a,-11) , Q (5,b) ,R (2,15) and S (1,1). are the vertices of a parallelogram PQRS, find the values of a and b.
Find the value of a, so that the point ( 3,a ) lies on the line represented by 2x - 3y =5 .
Find the coordinates of circumcentre and radius of circumcircle of ∆ABC if A(7, 1), B(3, 5) and C(2, 0) are given.
If three points (x1, y1) (x2, y2), (x3, y3) lie on the same line, prove that \[\frac{y_2 - y_3}{x_2 x_3} + \frac{y_3 - y_1}{x_3 x_1} + \frac{y_1 - y_2}{x_1 x_2} = 0\]
If the mid-point of the segment joining A (x, y + 1) and B (x + 1, y + 2) is C \[\left( \frac{3}{2}, \frac{5}{2} \right)\] , find x, y.
If the points (k, 2k), (3k, 3k) and (3, 1) are collinear, then k
The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio ______.
The distance of the point (–6, 8) from x-axis is ______.
