Co-Ordinate Geometry MCQ Set 4

CO-ORDINATE GEOMETRY MCQ SET 4

1. The graphs of the equations 2x + 3y = 11 and x – 2y + 12 = 0 intersects at P(x,y) and the graph of the equation x – 2y + 12 = 0 intersects the x axis at Q(x , y) . What is the value of (x1 – x2 + y1 + y2)?

(a) 13

(b) -11

(c) 15

(d) -9

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Answer: C

2. The graphs of the equations x – 7y = -42 intersects the y axis at P(a , b) and the graphs of the 6x + y – 15 = 0 intersects the x – axis at Q(g , d) . What is the value of a + b + g + d?

(a) 8.5

(b) 6

(c) 4.5 

(d) 5

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Answer: A

3. Find the coordinates of the points where the graph 57x – 19y = 399 cuts the coordinate axes .

(a) x – axis at (-7 , 0) and y axis at (0 , -21 )

(b) x – axis at (-7 , 0) and y axis at (0 , 21 )

(c) x – axis at (7 , 0) and y axis at (0 , -21 )

(d) x – axis at (7 , 0) and y axis at (0 , 21 )

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Answer: C

4. Find the acute angle between the lines y = 2x + 5 and y + 3x + 2 = 0

(a) 30º

(b) 45º

(c) 60º

(d) 75º

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Answer: B

5. If the lines 2y + 4x + 5 = 0 and y = 2 + ax are parallel , then find the value of a .

(a) 2

(b) -2

(c) -4

(d) 4

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Answer: B

6. If the lines y = 4x + 5 and y = (a + 1)x – 10 are perpendicular , then find the value of a .

(a) -1/4

(b) -5/4

(c) 1/4

(d) 5/4

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Answer: B

7. If the lines 2x + (a + 1) y + 5 = 0 and 5x + (3a – 1) y – 12 = 0 are parallel , then find the value of a .

(a) 2

(b) 7

(c) -6

(d) 4

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 Answer: B

8. If the lines (4 + a) x + 3y – (a + 5) = 0 and 5x + (7 – 2a) y – (3a + 5) = 0 are perpendicular , then find the value of a .

(a) 21

(b) 24

(c) 33

(d) 41

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Answer: D

9. Find the distance of point (-5 , 8) from line 3x + 4y – 12 = 0 .

(a) 1

(b) 2

(c) 3

(d) 4

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Answer: A

10. Find the perpendicular distance of point (2 , 3) from lines 3x + 4y + 7 = 0 .

(a) 3

(b) 2

(c) 5

(d) 4

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Answer: C