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 centre of the circle passing through (5, -8), (2, -9) and (2, 1).
Find a point on y-axis which is equidistant from the points (5, -2) and (-3, 2).
Prove that the points (4, 5) (7, 6), (6, 3) (3, 2) are the vertices of a parallelogram. Is it a rectangle.
If the points A (a, -11), B (5, b), C (2, 15) and D (1, 1) are the vertices of a parallelogram ABCD, find the values of a and b.
The line segment joining A( 2,9) and B(6,3) is a diameter of a circle with center C. Find the coordinates of C
If P (2, p) is the mid-point of the line segment joining the points A (6, −5) and B (−2, 11). find the value of p.
If A(4, 9), B(2, 3) and C(6, 5) are the vertices of ∆ABC, then the length of median through C is
The point R divides the line segment AB, where A(−4, 0) and B(0, 6) such that AR=34AB.">AR = `3/4`AB. Find the coordinates of R.
The points whose abscissa and ordinate have different signs will lie in ______.
If the coordinate of point A on the number line is –1 and that of point B is 6, then find d(A, B).
