Coordinate Geometry

Q1.A boy walks 12 km south, then 5 km east. What is his distance from the starting point?

• A11 km
• B13 km
• C17 km
• D15 km

Q2.The section formula for dividing P(x₁,y₁) and Q(x₂,y₂) internally in ratio m:n gives:

• A[(mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)]
• B[(mx₁+nx₂)/(m+n), (my₁+ny₂)/(m+n)]
• C[(mx₂−nx₁)/(m−n), (my₂−ny₁)/(m−n)]
• D[(x₁+x₂)/2, (y₁+y₂)/2]

Q3.A point P divides AB (where A=(−1,7) and B=(4,−3)) in ratio 2:3. Find P.

• A(1, 3)
• B(2, 3)
• C(1, 4)
• D(3, 2)

Q4.Find the coordinates of the point dividing A(1, 3) and B(3, 9) in ratio 1:2.

• A(5/3, 5)
• B(2, 4)
• C(5/3, 15/3)
• D(3, 5)

Q5.Find the midpoint of the segment joining P(2, 3) and Q(4, 7).

• A(3, 5)
• B(2, 5)
• C(3, 4)
• D(4, 5)