Advertisements
Advertisements
प्रश्न
A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, –5) is the mid-point of PQ, then find the coordinates of P and Q.
Advertisements
उत्तर
Suppose the line intersects the y-axis at P(0, y) and the x-axis at Q(x, 0)
It is given that (2, –5) is the mid-point of PQ
Using mid-point formula, we have
`((x+0)/2 , (0+y)/2) = (2, -5)`
`=> (x/2,y/2) = (2, -5)`
`=> x/2 = 2 and y/2 = -5`
`=> x = 4, y = - 10`
Thus, the coordinates of P and Q are (0, −10) and (4, 0), respectively.
APPEARS IN
संबंधित प्रश्न
Find the third vertex of a triangle, if two of its vertices are at (−3, 1) and (0, −2) and the centroid is at the origin.
If three consecutive vertices of a parallelogram are (1, -2), (3, 6) and (5, 10), find its fourth vertex.
If the point ( x,y ) is equidistant form the points ( a+b,b-a ) and (a-b ,a+b ) , prove that bx = ay
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.
If `P(a/2,4)`is the mid-point of the line-segment joining the points A (−6, 5) and B(−2, 3), then the value of a is
The abscissa and ordinate of the origin are
Write the coordinates of a point on X-axis which is equidistant from the points (−3, 4) and (2, 5).
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?
Point (3, 0) lies in the first quadrant.
Find the coordinates of the point whose ordinate is – 4 and which lies on y-axis.
