Advertisements
Advertisements
प्रश्न
Calculate the distance between the points P (2, 2) and Q (5, 4) correct to three significant figures.
उत्तर
PQ = `sqrt((5 -2)^2 + (4 - 2)^2)`
= `sqrt(9 + 4)`
= `sqrt(13)`
= 3.6055
= 3.61 units
APPEARS IN
संबंधित प्रश्न
If the point (x, y) is equidistant from the points (a + b, b – a) and (a – b, a + b), prove that bx = ay
Show that the points (a, a), (–a, –a) and (– √3 a, √3 a) are the vertices of an equilateral triangle. Also find its area.
Find the distance between the following pairs of points:
(−5, 7), (−1, 3)
Determine if the points (1, 5), (2, 3) and (−2, −11) are collinear.
Name the type of quadrilateral formed, if any, by the following point, and give reasons for your answer:
(−3, 5), (3, 1), (0, 3), (−1, −4)
If a≠b≠0, prove that the points (a, a2), (b, b2) (0, 0) will not be collinear.
Find the distance of a point P(x, y) from the origin.
Given a line segment AB joining the points A(–4, 6) and B(8, –3). Find
1) The ratio in which AB is divided by y-axis.
2) Find the coordinates of the point of intersection.
3) The length of AB.
Find value of x for which the distance between the points P(x,4) and Q(9,10) is 10 units.
Using the distance formula, show that the given points are collinear:
(-2, 5), (0,1) and (2, -3)
Find the distance between the following pairs of point in the coordinate plane :
(7 , -7) and (2 , 5)
Prove that the points (4 , 6) , (- 1 , 5) , (- 2, 0) and (3 , 1) are the vertices of a rhombus.
What point on the x-axis is equidistant from the points (7, 6) and (-3, 4)?
Find distance of point A(6, 8) from origin
Show that the points (0, –1), (8, 3), (6, 7) and (– 2, 3) are vertices of a rectangle.
The distance between the points A(0, 6) and B(0, –2) is ______.
Points A(4, 3), B(6, 4), C(5, –6) and D(–3, 5) are the vertices of a parallelogram.
Find a point which is equidistant from the points A(–5, 4) and B(–1, 6)? How many such points are there?
Show that Alia's house, Shagun's house and library for an isosceles right triangle.
A point (x, y) is at a distance of 5 units from the origin. How many such points lie in the third quadrant?
