Advertisements
Advertisements
प्रश्न
Find distance of point A(6, 8) from origin.
Advertisements
उत्तर
Let A(x1, y1) = A(6, 8), O(x2, y2) = O(0, 0)
∴ x1 = 6, y1 = 8, x2 = 0, y2 = 0
By distance formula,
d(A, O) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
= `sqrt((0 - 6)^2 + (0 - 8)^2`
= `sqrt(36 + 64)`
= `sqrt(100)`
= 10
∴ The distance of point A(6, 8) from origin is 10 units.
APPEARS IN
संबंधित प्रश्न
Show that the points (1, – 1), (5, 2) and (9, 5) are collinear.
If P (2, – 1), Q(3, 4), R(–2, 3) and S(–3, –2) be four points in a plane, show that PQRS is a rhombus but not a square. Find the area of the rhombus
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)
Find the distance between the points:
P(a + b, a – b) and Q(a – b, a + b)
Using the distance formula, show that the given points are collinear:
(–1, –1), (2, 3) and (8, 11)
Find the distance between the following pair of points.
L(5, –8), M(–7, –3)
Find the distance of the following point from the origin :
(8 , 15)
Find the distance between P and Q if P lies on the y - axis and has an ordinate 5 while Q lies on the x - axis and has an abscissa 12 .
PQR is an isosceles triangle . If two of its vertices are P (2 , 0) and Q (2 , 5) , find the coordinates of R if the length of each of the two equal sides is 3.
ABC is an equilateral triangle . If the coordinates of A and B are (1 , 1) and (- 1 , -1) , find the coordinates of C.
Find the distance between the origin and the point:
(-8, 6)
Point P (2, -7) is the centre of a circle with radius 13 unit, PT is perpendicular to chord AB and T = (-2, -4); calculate the length of AB.
Calculate the distance between the points P (2, 2) and Q (5, 4) correct to three significant figures.
The points A (3, 0), B (a, -2) and C (4, -1) are the vertices of triangle ABC right angled at vertex A. Find the value of a.
If the length of the segment joining point L(x, 7) and point M(1, 15) is 10 cm, then the value of x is ______.
The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure is ______.
If the distance between the points (4, P) and (1, 0) is 5, then the value of p is ______.
The centre of a circle is (2a, a – 7). Find the values of a if the circle passes through the point (11, –9) and has diameter `10sqrt(2)` units.
Find the distance between the points O(0, 0) and P(3, 4).
