Advertisements
Advertisements
प्रश्न
Find the distances between the following point.
P(–6, –3), Q(–1, 9)
Advertisements
उत्तर
P(–6, –3), Q(–1, 9)
\[PQ = \sqrt{\left( - 6 - \left( - 1 \right) \right)^2 + \left( - 3 - 9 \right)^2}\]
\[ = \sqrt{25 + 144}\]
\[ = \sqrt{169}\]
\[ = 13\]
APPEARS IN
संबंधित प्रश्न
If the point P(2, 2) is equidistant from the points A(−2, k) and B(−2k, −3), find k. Also find the length of AP.
If the opposite vertices of a square are (1, – 1) and (3, 4), find the coordinates of the remaining angular points.
Name the type of quadrilateral formed, if any, by the following point, and give reasons for your answer:
(4, 5), (7, 6), (4, 3), (1, 2)
Find the distance between the following pair of points.
L(5, –8), M(–7, –3)
Show that the ▢PQRS formed by P(2, 1), Q(–1, 3), R(–5, –3) and S(–2, –5) is a rectangle.
Find the distance between the following point :
(sec θ , tan θ) and (- tan θ , sec θ)
Find the distance of a point (13 , -9) from another point on the line y = 0 whose abscissa is 1.
Prove that the following set of point is collinear :
(4, -5),(1 , 1),(-2 , 7)
Prove that the points (1 ,1),(-4 , 4) and (4 , 6) are the certices of an isosceles triangle.
Prove that the points (0,3) , (4,3) and `(2, 3+2sqrt 3)` are the vertices of an equilateral triangle.
Find the distance between the origin and the point:
(-8, 6)
Find the coordinates of the points on the y-axis, which are at a distance of 10 units from the point (-8, 4).
A point P lies on the x-axis and another point Q lies on the y-axis.
Write the abscissa of point Q.
Give the relation that must exist between x and y so that (x, y) is equidistant from (6, -1) and (2, 3).
Show that A(1, 2), (1, 6), C(1 + 2`sqrt(3)`, 4) are vertices of an equilateral triangle.
Seg OA is the radius of a circle with centre O. The coordinates of point A is (0, 2) then decide whether the point B(1, 2) is on the circle?
Find the distance between the points O(0, 0) and P(3, 4).
Show that points A(–1, –1), B(0, 1), C(1, 3) are collinear.
The distance between the points (0, 5) and (–3, 1) is ______.
