Advertisements
Advertisements
Question
Determine whether the given set of points are collinear or not
(a, −2), (a, 3), (a, 0)
Advertisements
Solution
A(a, −2), B(a, 3), C(a, 0)
Distance AB = `sqrt(("a" - "a")^2 + (3 + 2)^2`
= `sqrt(0 + 5^2)`
= `sqrt(25)`
= 5
BC = `sqrt(("a" - "a")^2 + (0 - 3)^2`
= `sqrt(0 + 9)`
= `sqrt(9)`
= 3
AC = `sqrt(("a" - "a")^2 + (0 + 2)^2`
= `sqrt(0 + 2^2)`
= `sqrt(4)`
= 2
AC + BC = AB
⇒ 2 + 3 = 5
∴ The given three points are collinear.
APPEARS IN
RELATED QUESTIONS
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = 6, y = - 2
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = -3, y = -6
Sketch proper figure and write the answer of the following question.
If R-S-T and l(ST) = 3.7, l(RS) = 2.5, then l(RT) = ?
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, R) + d(R, Q) = d(P, Q)
Co-ordinates of the pair of points are given below. Hence find the distance between the pair.
0, - 2
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.
If P-Q-R and d(P, Q) = 3.4, d(Q, R)= 5.7 then d(P, R) = ?
Find the distance between the following pair of points
(1, 2) and (4, 3)
Determine whether the given set of points are collinear or not
(7, −2), (5, 1), (3, 4)
Find the distance with the help of the number line given below.
d(P, C)
