Advertisements
Advertisements
Question
Find the distance between the following pair of points
(3, 4) and (−7, 2)
Advertisements
Solution
Distance between the points (3, 4) and (−7, 2)
= `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
= `sqrt((-7 - 3)^2 + (2 - 4)^2`
= `sqrt((-10)^2 + (-2)^2`
= `sqrt(100 + 4)`
= `sqrt(104)`
= `sqrt(2 xx 2 xx 13)`
= `2sqrt(26) "units"`
APPEARS IN
RELATED QUESTIONS
Sketch proper figure and write the answer of the following question.
If A- B - C and l(AC) = 11, l(BC) = 6.5, then l(AB) = ?
On a number line, co-ordinates of P, Q, R are 3, -5 and 6 respectively. State with reason whether the following statement is true or false.
d(P, Q) - d(P, R) = d(Q, R)
Co-ordinates of the pair of points are given below. Hence find the distance between the pair.
80, - 85
Co-ordinate of point P on a number line is - 7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.
Co-ordinate of point A on a number line is 1. What are the co-ordinates of points on the number line which are at a distance of 7 units from A?
Find the distance between the following pair of points
(1, 2) and (4, 3)
Show that the following points taken in order to form an isosceles triangle
A(5, 4), B(2, 0), C(−2, 3)
Show that the following points taken in order to form an isosceles triangle
A(6, −4), B(−2, −4), C(2, 10)
Show that the following points taken in order to form the vertices of a parallelogram
A(−7, −3), B(5, 10), C(15, 8) and D(3, −5)
If the points A(2, 0), B(– 6, 0), C(3, a – 3) lie on the x-axis then the value of a is _____
