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Point H is 6 m towards the East of point G, point R is 8 m North of point G. Point Q is exactly midway between Point R and point G. Point K is 10 m to the South of point Q. Point L is 3 m towards the East of point Q, point S is exactly midway between point G and point H.

(A) Point R is North-east of Point H.

(B) The shortest distance between Point H and Point R is 10 m

(C) The shortest distance between Point Q and Point S is 5 m.

(D) Point R is 14 m south of point K.

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 1

Take G at (0,0)(0,0). Then H (6,0)(6,0), R (0,8)(0,8), Q (0,4)(0,4), K (0,−6)(0,-6), L (3,4)(3,4), S (3,0)(3,0).

(A) R lies west and north of H, so it is North-west, not North-east.

(B) HR=62+82=10HR=\sqrt{6^2+8^2}=10 m, correct.

(C) QS=32+42=5QS=\sqrt{3^2+4^2}=5 m, correct.

(D) R is 14 m north of K, not south.

Only (B) and (C) hold.

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