Q: Point A is 10 m west of point B. Point B is 7 m south of point C. Point D is 6 m west of point C. Point E is 7 m south of point D. Point F is 5 m east of point B. Point G is 3 m north of point F. What is the shortest distance between point B and point G?

$\sqrt{34}$ m. Take B as $(0,0)$. Then F is at $(5,0)$, and G is at $(5,3)$. The shortest distance from B to G is $\sqrt{5^2+3^2}=\sqrt{34}$ m.

Question 1

Point G is 8 m west of point C, which is 12 m north of point H. Point I is 6 m east of point H. Point K is 15 m west of point D, which is 18 m south of point G. Point E is 10 m west of point B and 27 m north of point K. Point F is 5 m north of point B. Point F is 20 m east of point A. What

Accepted Answer

\u221a340 m. Let H be at (0,0). Then C is at (0,12), so G is at (-8,12). Also, I is 6 m east of H, so I is at (6,0). The distance between I and G is $\sqrt{(6-(-8))^2+(0-12)^2}=\sqrt{14^2+12^2}=\sqrt{340}$.

Question 2

Directions for Questions 48–50: Study the following information and answer the questions given below. Point A is 3 m east of point B. Point D is 4 m north of C. Point K is 7 m west of J. Point D is 4 m south of A. Point L is 4 m south of G, who is 6 m west of F. Point E is 5 m east of C an

Accepted Answer

√340 m. By assigning coordinates from the given relations, the positions of N and K can be determined exactly. The distance between them comes out to $\sqrt{340}$ m using the coordinate distance formula.

Question 3

Study the following information carefully and answer the question given below: Veer started walking from point M towards north for 7 km to reach point N. Then, he took a right turn and walked 5 km to reach point O. After that, he took a left turn and walked 8 km to reach point P. Then, he

Accepted Answer

√89 Km. Take M as (0,0). Then N is at (0,7). Moving right from north means east, so O is at (5,7), and then left from east means north, so P is at (5,15). The distance between P(5,15) and N(0,7) is $\sqrt{(5-0)^2+(15-7)^2}=\sqrt{25+64}=\sqrt{89}$.

Question 4

Point A is 10 m west of point B. Point B is 7 m south of point C. Point D is 6 m west of point C. Point E is 7 m south of point D. Point F is 5 m east of point B. Point G is 3 m north of point F. What is the shortest distance between point B and point G?

Accepted Answer

$\sqrt{34}$ m. Take B as $(0,0)$. Then F is at $(5,0)$, and G is at $(5,3)$. The shortest distance from B to G is $\sqrt{5^2+3^2}=\sqrt{34}$ m.

Question 5

Study the following information carefully and answer the question given below: Point N is 8 m to the west of point O. Point P is 4 m to the south of point O. Point Q is 4 m to the east of point P. Point R is 6 m to the north of point Q. Point S is 8 m to the west of point R. Point T is 2 m

Accepted Answer

12 m. Taking O as the origin, N is at (-8,0). P is at (0,-4), so Q is at (4,-4), and A is 4 m north of Q, i.e. at (4,0). The distance between (-8,0) and (4,0) is 12 m.

Question 6

There are eight bus stops P, Q, R, S, T, U, V and W. Q is 8 km east of P. S is 4 km west of R. W is 7 km south of P. R is 4 km south of Q. V is in the middle of P and Q. T is 6 km south of S. U is in the middle of S and T. What is the distance between W and U?

Accepted Answer

4 km. Take P as (0,0). Then Q = (8,0), R = (8,-4), S = (4,-4), T = (4,-10), and U, the midpoint of S and T, is (4,-7). Also W = (0,-7) since it is 7 km south of P. Therefore, the distance between W and U is 4 km.

Question 7

A person starts from place A and goes up to place J through B, C, D, E, F, G, H, and I in the same order as mentioned. From A, he travels 8 km towards north to reach B, then he takes a right turn and travels 7 km to reach C. From C, he travels 12 km towards the south to reach D, then he tu

Accepted Answer

15.02 km. By tracking the path on a coordinate plane, the positions of B, G, A, and J can be determined exactly. Then BG and AJ are found using the distance formula. The difference comes out to 15.02 km.

Question 8

Point A is 11 m to the west of point B. Point C is 8 m to the south of point B. Point C is 1 m to the west of point J. Point J is 12 m to the south of point H. Point D is 11 m to the east of point J. Point E is 6 m to the south of point D. Point F is 17 m to the west of point E. Point G is

Accepted Answer

18 m. By assigning coordinates, the relative positions of all points can be determined. From the given constraints, point G ends up 1 m north of point F and aligned horizontally so that the straight-line distance between G and F is 18 m.

Question 9

Prithvi starts walking from his home in the south direction and walks 7 km to reach point A. Then he takes a right turn and walks 5 km to reach point B. From point B, he turns 90 degrees to his left and walks 8 km to reach point C. From point C again, he turns 90 degrees to his left and wa

Accepted Answer

2 km. The path can be reduced by converting each move into coordinate shifts. After all movements, the net displacement from the house is 2 km, so the straight-line distance is 2 km.

IBPS PO Quantitative Aptitude: Coordinate Geometry questions with solutions

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