Question

the coordinates of the midpoint of a line segment joining the points A(2p+1,4) and B(5,q-1) are (2p,q) .find the value of p and q

Answer 1

The coordinate of the midpoint of the line segement A(2p+1,4) and B(5,q-1) is (2p,q). Then,
2p=(2p+1+5)/2
or, 4p=2p+6
or, 4p-2p=6
or, 2p=6
oe, p=3
q=(4+q-1)/2
or, 2q=q+3
or, 2q-q=3
or, q=3
∴, p=3, q=3 i.e. the coordinate of the mid point is (3,3). Ans.

Answer 2

Ans.

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