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 Find the distance between the points A and B in the following :

(i) A(2, 3), B(4, 1)    (ii) A (a, b), B(-a, -b)    (iii) A(5, -8); B(-7, -3)

(iv) A(4, 10), B(7, -6) (v) A (a + b, a - b), B(a - b, -a - b).


Solution not provided.

Ans. space left parenthesis straight i right parenthesis space square root of 13 space space space space space left parenthesis ii right parenthesis space 2 square root of straight a squared plus straight b squared space end root space space space left parenthesis iii right parenthesis space 13 space space space space space left parenthesis iv right parenthesis space square root of 265 space space space space left parenthesis straight v right parenthesis space space space 2 square root of straight a squared plus straight b squared end root space  

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Find the co-ordinates of the point which divides the line segment joining (-1, 3) and (4, -7) internally in the ratio 3 : 4.

Solution not provided.

Ans. space space open parentheses 8 over 7 comma space fraction numerator negative 9 over denominator 7 end fraction close parentheses

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Find the co-ordinates of the point which divides the line segment joining (4, -1) and (-2, 4) internally in the ratio 3 : 5.

Solution not provided.

open parentheses 7 over 4 comma space 7 over 8 close parentheses  

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Find the co-ordinates of the point which divides the line segment joining (2, 3) and (3, 4) internally in the ratio 3 : 2.

Solution not provided.

Ans. space open parentheses 13 over 5 comma space 18 over 5 close parentheses

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Find the co-ordinates of the point, which divides the line segment joining (5, -3) and (2, 3) internally in the ratio 1 : 2.

Solution not provided.
Ans. (4, -1)

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