Advertisements
Advertisements
प्रश्न
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
विकल्प
A. −8
B. 3
C. −4
D. 4
Advertisements
उत्तर
`P(a/2,4)`is the mid-point of the line segment joining points A (−6, 5) and B (−2, 3).
∴ Coordinates of point `P= (-6+(-2))/2,(-8/2,8/2)=(-4,)`
`P=(a/2,4)` [Given]
`therefore a/2=-4`
`rArr a=-8`
Thus, the value of a is −8.
The correct answer is A.
APPEARS IN
संबंधित प्रश्न
Find the distance between the following pair of points:
(a, 0) and (0, b)
In what ratio does the point (−4, 6) divide the line segment joining the points A(−6, 10) and B(3,−8)?
Find the coordinates of the midpoints of the line segment joining
P(-11,-8) and Q(8,-2)
If (0, −3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.
If (x, y) be on the line joining the two points (1, −3) and (−4, 2) , prove that x + y + 2= 0.
What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?
The perimeter of the triangle formed by the points (0, 0), (0, 1) and (0, 1) is
If the line segment joining the points (3, −4), and (1, 2) is trisected at points P (a, −2) and Q \[\left( \frac{5}{3}, b \right)\] , Then,
Point P(– 4, 2) lies on the line segment joining the points A(– 4, 6) and B(– 4, – 6).
Assertion (A): The point (0, 4) lies on y-axis.
Reason (R): The x-coordinate of a point on y-axis is zero.
