Advertisements
Advertisements
Question
PQ is straight line of 13 units. If P has coordinate (2, 5) and Q has coordinate (x, – 7) find the possible values of x.
Solution
Here PQ = 13
PQ2 = 132
∴ (x - 2)2 + (-7 - 5)2 = 169
⇒ (x - 2)2 = 169 - 144
= 25 = 52
or
(x - 2) = ± 5
⇒ x = 7 or -3.
APPEARS IN
RELATED QUESTIONS
Find, which of the following points lie on the line x – 2y + 5 = 0 :
(–5, 0)
The co-ordinates of two points P and Q are (2, 6) and (−3, 5) respectively Find the equation of PQ;
Find the equations of the lines passing through point (–2, 0) and equally inclined to the co-ordinate axes.
The line through P (5, 3) intersects y-axis at Q.
Find the co-ordinates of Q.
Find if the following points lie on the given line or not:
(1,3) on the line 2x + 3y = 11
Find if the following points lie on the given line or not:
(7, -2) on the line 5x + 7y = 11
The line segment formed by two points A (2,3) and B (5, 6) is divided by a point in the ratio 1 : 2. Find, whether the point of intersection lies on the line 3x - 4y + 5 = 0.
Find the value of a line parallel to the following line:
`"x"/4 +"y"/3` = 1
Find the value of a line parallel to the following line:
`(2"x")/5 + "y"/3` = 2
Find the equation of a line passing through (-5,-1) and perpendicular to the 3x + y = 9