Co-ordinate Geometry: Practice Questions

Q.1. Find the area of the triangle formed by the vertices (4, 5), (10, 12) and (-3, 2)
A. 3
B. 4.5
C. 4
D. 3.5
Q.2. Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0
A. y=5/3x- 2
B. 3Y=2x+5
C. 3Y=5x-2
D. None of these
Q.3. Find the coordinates of the point which will divide the line joining the points (3, 5) and (11, 8) externally in the ratio 5: 2.
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A. (5/3 , 1/3)
B. (3/49 , 1/10)
C. (49/3 , 10)
D. None of these
Q.4. Find the coordinate of the point which will divide the line joining the point (2,4) and (7,9) internally in the ratio 1:2?
A. (5/3 , 1/3)
B. (3/8 , 3/11)
C. (8/3 , 11/3)
D. (11/3 , 17/3)
Q.5. What is the slope of the line passing through the points J (-2, 3) and (2, 7)?
A. 1
B. 2
C. &redic;2
D. 4.&redic;3
Q.6. Find the equation of the line whose slope is 3 and y intercept is – 4.
A. y = 2x – 3
B. Y=3x+4
C. Y=3x- 4
D. 4.y=√3x-2
Q.7. Find the equation of the line passing through (2, -1) and parallel to the line 2x – y = 4.
A. y = 2x – 5
B. Y=2x+6
C. Y=√2x +7
D. 4.y=2x+5
Q8. Find the equation of the line parallel to the line passing through (5,7) and (2,3) and having x intercept as -4.
A. 3y = 4x -16
B. 4y=3x-16
C. 3y = 4x +16
D. 4y=3x+16
Q9. Find the coordinates of the circum-centre of the triangle whose vertices are (0, 0), (8,0) and (0,6). Find the Circum-radius also.
A. (4, 3),6
B. (3,4),5
C. (4, 3),5
D. (4, 3),3
Q10. Find the equation of the line passing through (2, -1) and perpendicular to the line 2x – y = 4.
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A. x+2y=0
B. Y=5x-2
C. Y=2x-5
D. None of these