Advertisements
Advertisements
Question
If P - Q - R and d(P, Q) = 2, d(P, R) = 10, then find d(Q, R).
Options
12
8
`sqrt(96)`
20
Advertisements
Solution
8
Explanation:
Given that, Point Q is between point P and point R.

We have, d(P, Q) = 2; d(P, R) = 10
Now, d(P, R) = d(P, Q) + d(Q, R)
∴ d(Q, R) = d(P, R) - d(P, Q)
∴ d(Q, R) = 10 - 2
∴ d(Q, R) = 8
APPEARS IN
RELATED QUESTIONS
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = - 3, y = 7
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = -4, y = -5
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 A- B - C and l(AC) = 11, l(BC) = 6.5, then l(AB) = ?
Sketch proper figure and write the answer of the following question.
If X-Y-Z and l(XZ) = `3sqrt7`, l(XY) = `sqrt7`, then l(YZ) = ?
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(Q, R) = d(P, R)
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-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
(3, −9) and (−2, 3)
Determine whether the given set of points are collinear or not
(7, −2), (5, 1), (3, 4)
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 equilateral triangle
`"A"(2, 2), "B"(-2, -2), "C"(-2sqrt(3), 2sqrt(3))`
Show that the following points taken in order to form an equilateral triangle
`"A"(sqrt(3), 2), "B"(0, 1), "C"(0, 3)`
The radius of a circle with centre at origin is 30 units. Write the coordinates of the points where the circle intersects the axes. Find the distance between any two such points.
The distance between the two points (2, 3) and (1, 4) is ______
Find the distance with the help of the number line given below.

d(J, A)
Find the distance with the help of the number line given below.

d(P, C)
Find the distance with the help of the number line given below.

d(O, E)
Find the distance with the help of the number line given below.

d(P, J)
