# Co-ordinate Geometry - Quantitative Aptitude

Q11. The vertices of a Δ ABC are A (-8, 5), B (-3, 0) and C(5, 2). The centroid of Δ ABC is
(a) (-2, 5/3)
(b) (-2, 7/3)
(c) (-3, 5/3)
(d) (-3, 7/3)

Q12. The slope of a line passing through the points A (6, -4) and B (5, -2) is
(a) -2
(b) -1
(c) 1
(d) 2

Q13. P is a point on y-axis at a distance of 4 units from x-axis lying below x-axis. The Co-ordinate of A are
(a) (0, -3) (b) (0, -4)
(c) (1, -3)
(d) (2, -4)

Q14. The equation of a line passing through the points A (-2, 1) and B (3, -4) is
(a) 0
(b) 2
(c) 3
(d) 4

Q15. Two vertices of a Δ PQR are Q (0, -2), R (-3, 1) and its centroid is at the origin. The third vertex P is
(a) (2, 1)
(b) (2, 3)
(c) (3, 1)
(d) (4, 1)

Q16. If the points x (1, -1), y (k, 5) and z (5, 2) are co-linear then k = ?
(a) 3
(b) 5
(c) 7
(d) 9

Q17. The value of k for which the lines 4x + ky + 8 = 0 and 25x - 16y + 23 = 0 are perpendicular to each other is
(a) 21/7
(b) 25/4
(c) 29/7
(d) 35/4

Q18. Find the co-ordinates of a point P which divides the joint of A (5, -2) and B (8, 6) in the ratio 3:2 ?
(a) (22/5 , 11/5)
(b) (27/5 , 13/5)
(c) (34/5 , 14/5)
(d) (39/5 , 16/5)

Q19. Y-axis divides the join of P (-4, 2) and Q (8, 3) in the ratio
(a) 1 : 2
(b) 1 : 3
(c) 2 : 3
(d) 3 : 5

Q20. A line passes through the point (3, 5) and makes an angle 1350 with the x-axis. The equation of the line is
(a) x + y + 8 = 0
(b) x + y - 8 = 0
(c) x - y - 8 = 0
(d) x - y + 8 = 0

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