Question

a) 3A 3B c) b) 3A d) 3B 62. If the roots of equation $x^2 + ax + c = 0$ differ by 1, then: a) $b^2 = ac + 1$ c) $ac = 1$ b) $a^2 = 4c + 1$ d) $a^2 = bc + 1$ 63. The coordinates of point equidistant from (0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) is: a) (a, b, c) c) (a/3, b/3, c/3) b) (a/2, b/2, c/2) d) (a/4, b/4, c/4) 64. The equation of chord of circle $x^2 + y^2 = a^2$ whose midpoint (h, k) is: a) xh + yk = $h^2 + k^2$ c) xh - yk = $h^2 + k^2$ b) xh + yk = $h^2 - k^2$ d) 2xh - yk = $k^2$ c) 7/3 d) 27/4 65. The area of the triangle formed by the lines y = 9 and $y^2 - 9xy + 18x^2 = 0$ is: a) 9/2 b) 25/4 Final Aid for St. Xavier's College +2 Entrance Exam/285

          a)
3A
3B
c)
b) 3A
d) 3B
62. If the roots of equation $x^2 + ax + c = 0$ differ by 1, then:
a) $b^2 = ac + 1$
c) $ac = 1$
b) $a^2 = 4c + 1$
d) $a^2 = bc + 1$
63. The coordinates of point equidistant from (0, 0, 0), (a, 0, 0),
(0, b, 0) and (0, 0, c) is:
a) (a, b, c)
c) (a/3, b/3, c/3)
b) (a/2, b/2, c/2)
d) (a/4, b/4, c/4)
64. The equation of chord of circle $x^2 + y^2 = a^2$ whose midpoint
(h, k) is:
a) xh + yk = $h^2 + k^2$
c) xh - yk = $h^2 + k^2$
b) xh + yk = $h^2 - k^2$
d) 2xh - yk = $k^2$
c) 7/3
d) 27/4
65. The area of the triangle formed by the lines
y = 9 and $y^2 - 9xy + 18x^2 = 0$ is:
a) 9/2
b) 25/4
Final Aid for St. Xavier's College +2 Entrance Exam/285

a)
3A
3B
c)
b) 3A
d) 3B
62. If the roots of equation x^2 + ax + c = 0 differ by 1, then:
a) b^2 = ac + 1
c) ac = 1
b) a^2 = 4c + 1
d) a^2 = bc + 1
63. The coordinates of point equidistant from (0, 0, 0), (a, 0, 0),
(0, b, 0) and (0, 0, c) is:
a) (a, b, c)
c) (a/3, b/3, c/3)
b) (a/2, b/2, c/2)
d) (a/4, b/4, c/4)
64. The equation of chord of circle x^2 + y^2 = a^2 whose midpoint
(h, k) is:
a) xh + yk = h^2 + k^2
c) xh - yk = h^2 + k^2
b) xh + yk = h^2 - k^2
d) 2xh - yk = k^2
c) 7/3
d) 27/4
65. The area of the triangle formed by the lines
y = 9 and y^2 - 9xy + 18x^2 = 0 is:
a) 9/2
b) 25/4
Final Aid for St. Xavier's College +2 Entrance Exam/285

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