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
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) 4.5ย
(d) 5
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 )
Answer: C
4. Find the acute angle between the lines y = 2x + 5 and y + 3x + 2 = 0
(a) 30ยบ
(b) 45ยบ
(c) 60ยบ
(d) 75ยบ
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
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
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
ย 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
Answer: D
9. Find the distance of point (-5 , 8) from line 3x + 4y – 12 = 0 .
(a) 1
(b) 2
(c) 3
(d) 4
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
Answer: C
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