1.

Answer the questions with the help of figure given below.i. State the points which are equidistant from point B. ii. Write a pair of points equidistant from point.iii. Find d(U,V), d(P,C), d(V,B), d(U, L).

Answer»

i. Points equidistant from point B are a. A and C, because d(B, A) = d(B, C) = 2 b. D and P, because d(B, D) = d(B, P) = 4 

ii. Points equidistant from point Q are a. L and U, because d(Q, L) = d(Q, U) = 1 b. P and R, because d(P, Q) = d(Q, R) = 2 

iii. a. Co-ordinate of the point U is -5. Coordinate of the point V is 5. Since, 5 > -5 

∴ d(U, V) = 5 – (-5) = 5 + 5 

∴ d(U, V) = 10

b. Co-ordinate of the point P is -2. 

Co-ordinate of the point C is 4.

Since, 4 > -2 

∴ d(P, C) = 4 – (-2) = 4 + 2 

∴ d(P, C) = 6 

c. Co-ordinate of the point V is 5. 

Co-ordinate of the point B is 2. 

Since, 5 > 2 

∴ d(V, B) = 5 – 2 

∴ d(V, B) = 3 

d. Co-ordinate of the point U is -5. 

Co-ordinate of the point L is -3. 

Since, -3 > -5 

∴ d(U, L) = -3 – (-5) = -3 + 5

∴ d(U, L) = 2



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