Co-Ordinate Geometry MCQ Set 2

CO-ORDINATE GEOMETRY MCQ SET 2

1. Find the coordinates of the point which divides the line joining (5 , -2) and (9 , 6) internally in the ratio 1 : 3?

(a) (6 , 0)

(b) (6 , 1)

(c) (0 , 6)

(d) (1 , 6)

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Answer: A

2. A line segment AB with coordinates A(6 , 3) is divided by a point P(0 , 5) in the ratio of 2 : 3 find the coordinates of B?

(a) (-9 , 8)

(b) (6 , 1)

(c) (0 , 6)

(d) (1 , 6)

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Answer: A

3. Find the coordinates of the point which divides the line segment joining the points (2 , 1) and (3 , 5) externally in the ratio 2 : 3 .

(a) (0 , -6)

(b) (0 , 0)

(c) (3 , -5)

(d) (0 , -7)

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Answer: D

4. In which ratio point P(1 , 2) divides the line segment joining (-2 , 1) and (7 , 4)

(a) 1 : 2

(b) 2 : 1

(c) 3 : 2

(d) 2 : 3

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Answer: A

5. In what ratio y-axis divides the line joining the points (2 , 3) and (5 , 7)?

(a) 2 : 5 internally

(b) 5 : 2 internally

(c) 2 : 5 externally

(d) 5 : 2 externally

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Answer: C

6. In what ratio x-axis divides the line joining the points (-4 , 3) and (5 , 2)?

(a) 3 : 2 internally

(b) 2 : 3 internally

(c) 3 : 2 externally

(d) 2 : 3 externally

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Answer: C

7. Find the slope of a line which passes through (4 , 2) and (7 , 6) .

(a) 4/3

(b) 3/4

(c) 3/2

(d) 2/3

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 Answer: A

8. The intercepts made by the line 3x+4y-12 = 0 on the coordinate axis are .

(a) 2 & 3

(b) 3 & 4

(c) 4 & 3

(d) None of these

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Answer: C

9. Find the length of the intercepts made by the line 12x – 9y – 108 = 0 between the coordinate axis .

(a) 9 unit

(b) 12 unit

(c) 15 unit

(d) 18 unit

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Answer: C

10. Find the equation of a line whose slope is 5 and y intercept is 12 .

(a) y – 5x – 12 = 0

(b) y + 5x + 12 = 0

(c) 5x – y – 12 = 0

(d) 3x + y – 15 = 0

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Answer: A