English
Maharashtra State BoardSSC (English Medium) 9th Standard

If A-B-C and d(A, C) = 17, d(B, C) = 6.5 then d(A, B) = ?

Advertisements
Advertisements

Question

If A-B-C and d(A, C) = 17, d(B, C) = 6.5 then d(A, B) = ?

Sum
Advertisements

Solution

We have, d(A, C) = 17; d(B, C) = 6.5

Now, d(A, C) = d(A, B) + d(B, C)  ...[A-B-C]

So, d(A, B) = d(A, C) − d(B, C)

∴ d(A, B) = 17 − 6.5

∴ d(A, B) = 10.5

shaalaa.com
Co-ordinates of Points and Distance
  Is there an error in this question or solution?
Chapter 1: Basic Concepts in Geometry - Problem set 1 [Page 12]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 1 Basic Concepts in Geometry
Problem set 1 | Q 5. (i) | Page 12

RELATED QUESTIONS

If the co-ordinate of A is x and that of B is y, find d(A, B).

x = 1, y = 7


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 = 7


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) = ?


Find d(A, B), if co-ordinates of A and B are -2 and 5 respectively.


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)


Find the distance between the following pair of points

(a, b) and (c, b)


Find the distance between the following pair of points

(3, −9) and (−2, 3)


Show that the following points taken in order to form the vertices of a parallelogram

A(−3, 1), B(−6, −7), C(3, −9) and D(6, −1)


Verify that the following points taken in order to form the vertices of a rhombus

A(3, −2), B(7, 6), C(−1, 2) and D(−5, −6)


Verify that the following points taken in order to form the vertices of a rhombus

A(1, 1), B(2, 1), C(2, 2) and D(1, 2)


The abscissa of a point A is equal to its ordinate, and its distance from the point B(1, 3) is 10 units, What are the coordinates of A?


The point (x, y) is equidistant from the points (3, 4) and (−5, 6). Find a relation between x and y


The distance between the two points (2, 3) and (1, 4) is ______


If the points A(2, 0), B(– 6, 0), C(3, a – 3) lie on the x-axis then the value of a is _____


Find the distance with the help of the number line given below.

d(B, E)


Find the distance with the help of the number line given below.

d(J, H)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×