Advertisements
Advertisements
प्रश्न
Find the coordinates of the midpoints of the line segment joining
P(-11,-8) and Q(8,-2)
Advertisements
उत्तर
The given points are P(-11,-8) and Q(8,-2).
`x= (x_1 +x_2)/2 , y = (y_1+y_2)/2`
`⇒ x = (-11+8)/2 , y = (-8-2)/2`
`⇒ x = -3/2 , y= -10/2`
` ⇒ x = - 3/2 , y = -5`
Therefore, `(-3/2,-5)` are the coordinates of midpoint of PQ .
APPEARS IN
संबंधित प्रश्न
If A and B are (1, 4) and (5, 2) respectively, find the coordinates of P when AP/BP = 3/4.
Show that the following points are the vertices of a square:
A (6,2), B(2,1), C(1,5) and D(5,6)
In what ratio does the point P(2,5) divide the join of A (8,2) and B(-6, 9)?
In what ratio is the line segment joining the points A(-2, -3) and B(3,7) divided by the yaxis? Also, find the coordinates of the point of division.
Find the ratio which the line segment joining the pints A(3, -3) and B(-2,7) is divided by x -axis Also, find the point of division.
ABCD is rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). If P,Q,R and S be the midpoints of AB, BC, CD and DA respectively, Show that PQRS is a rhombus.
Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are A(2,1) B(4,3) and C(2,5)
If the point P(k - 1, 2) is equidistant from the points A(3, k) and B(k, 5), find the value of k.
Point P(x, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of x.
A point whose abscissa is −3 and ordinate 2 lies in
The distance of the point P (4, 3) from the origin is
If the point \[C \left( - 1, 2 \right)\] divides internally the line segment joining the points A (2, 5) and B( x, y ) in the ratio 3 : 4 , find the value of x2 + y2 .
\[A\left( 6, 1 \right) , B(8, 2) \text{ and } C(9, 4)\] are three vertices of a parallelogram ABCD . If E is the mid-point of DC , find the area of \[∆\] ADE.
If A (2, 2), B (−4, −4) and C (5, −8) are the vertices of a triangle, than the length of the median through vertex C is
The distance of the point (4, 7) from the y-axis is
The ratio in which the line segment joining points A (a1, b1) and B (a2, b2) is divided by y-axis is
If P(2, 4), Q(0, 3), R(3, 6) and S(5, y) are the vertices of a parallelogram PQRS, then the value of y is
The distance of the point P(2, 3) from the x-axis is ______.
Signs of the abscissa and ordinate of a point in the second quadrant are respectively.
If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has ______.
