Advertisements
Advertisements
प्रश्न
If (x , 2), (−3, −4) and (7, −5) are collinear, then x =
विकल्प
60
63
−63
−60
Advertisements
उत्तर
We have three collinear points A (x , 2 ) ; B ( -3 ,-4) ; C(7 , - 5).
In general if A (x1 , y1) ; B (x2 , y2) ; C (x3 , y 3). are collinear then,
`x_1 ( y_2 -y_3) + x_2 (y_3 - y_1) + x_3 (y_1 - y_2 ) = 0`
So,
x (-4 + 5 ) -3 (-5-2)+ 7 (2 +4) = 0
So,
`x + 42 + 21 = 0`
Therefore,
x = - 63
APPEARS IN
संबंधित प्रश्न
On which axis do the following points lie?
S(0,5)
Find the distance between the following pair of points:
(a, 0) and (0, b)
Prove that the points (3, -2), (4, 0), (6, -3) and (5, -5) are the vertices of a parallelogram.
Prove that the points A(-4,-1), B(-2, 4), C(4, 0) and D(2, 3) are the vertices of a rectangle.
If the point `P (1/2,y)` lies on the line segment joining the points A(3, -5) and B(-7, 9) then find the ratio in which P divides AB. Also, find the value of y.
Find the area of quadrilateral ABCD whose vertices are A(-3, -1), B(-2,-4) C(4,-1) and D(3,4)
Prove that the diagonals of a rectangle ABCD with vertices A(2,-1), B(5,-1) C(5,6) and D(2,6) are equal and bisect each other
Show that `square` ABCD formed by the vertices A(-4,-7), B(-1,2), C(8,5) and D(5,-4) is a rhombus.
Points P, Q, R and S divides the line segment joining A(1, 2) and B(6, 7) in 5 equal parts. Find the coordinates of the points P, Q and R.
If the vertices of a triangle are (1, −3), (4, p) and (−9, 7) and its area is 15 sq. units, find the value(s) of p.
If the points A(−2, 1), B(a, b) and C(4, −1) ae collinear and a − b = 1, find the values of aand b.
The distance between the points (cos θ, 0) and (sin θ − cos θ) is
If the points (k, 2k), (3k, 3k) and (3, 1) are collinear, then k
If the points P (x, y) is equidistant from A (5, 1) and B (−1, 5), then
Find the coordinates of the point whose abscissa is 5 and which lies on x-axis.
In which ratio the y-axis divides the line segment joining the points (5, – 6) and (–1, – 4)?
Co-ordinates of origin are ______.
The distance of the point (3, 5) from x-axis (in units) is ______.
Assertion (A): Mid-point of a line segment divides the line segment in the ratio 1 : 1
Reason (R): The ratio in which the point (−3, k) divides the line segment joining the points (− 5, 4) and (− 2, 3) is 1 : 2.
