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1. The distance between the points (3, 4) and (0, 0) is

A. 5 B. 6 C. 7 D. 4

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2. The slope of the line joining (1, 2) and (3, 6) is

A. 2 B. 4 C. 3 D. 1

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3. The equation of the line passing through (2, 3) and having slope 4 is

A. y - 3 = 4(x - 2) B. y = 4x + 2 C. y - 2 = 4(x - 3) D. y = x + 4

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4. The condition for two lines y = m1x + c1 and y = m2x + c2 to be parallel is

A. m1 = m2 B. m1 * m2 = -1 C. m1/m2 = -1 D. m1 + m2 = 1

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5. The equation of the line passing through the origin and perpendicular to y = 3x + 5 is

A. y = -x/3 B. y = x/3 C. y = -3x D. y = 3x

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6. The equation of the circle with center (1, -2) and radius 5 is

A. (x - 1)^2 + (y + 2)^2 = 25 B. (x + 1)^2 + (y - 2)^2 = 25 C. (x - 1)^2 - (y + 2)^2 = 25 D. (x + 1)^2 - (y - 2)^2 = 25

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7. The eccentricity of the ellipse x^2/16 + y^2/9 = 1 is

A. 3/5 B. 4/5 C. 5/4 D. 9/25

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8. The foci of the hyperbola x^2/a^2 - y^2/b^2 = 1 are

A. (±c, 0) where c^2 = a^2 + b^2 B. (0, ±c) where c^2 = a^2 - b^2 C. (±c, 0) where c^2 = b^2 - a^2 D. (0, ±c) where c^2 = b^2 + a^2

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9. The length of the latus rectum of the parabola y^2 = 16x is

A. 16 B. 8 C. 4 D. 32

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10. The equation of the directrix of the parabola x^2 = 4ay is

A. y = -a B. x = -a C. y = a D. x = a

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11. The reflection of the point (3, -4) in the y-axis is

A. -3, -4 B. 3, 4 C. -3, 4 D. 3, -4

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12. The equation of the line passing through (1, 2) and parallel to x-axis is

A. y = 2 B. x = 1 C. y = 1 D. x = 2

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13. The area of the triangle formed by the points (0, 0), (1, 0), and (0, 2) is

A. 1 B. 2 C. 0.5 D. 3

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14. The equation of a circle with diameter endpoints (1, 2) and (3, 4) is

A. (x - 2)^2 + (y - 3)^2 = 2 B. (x + 2)^2 + (y + 3)^2 = 2 C. (x - 2)^2 + (y - 3)^2 = 4 D. (x + 2)^2 + (y + 3)^2 = 4

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15. The locus of the midpoint of the line joining (h, k) to a fixed point (x1, y1) is

A. (x - x1)/2, (y - y1)/2 B. (x + x1)/2, (y + y1)/2 C. x/2, y/2 D. h/2, k/2

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16. The general equation of a straight line is

A. Ax + By + C = 0 B. Ax - By + C = 0 C. Ax + By - C = 0 D. Ax - By - C = 0

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17. The radius of the circle x^2 + y^2 - 4x + 6y + 9 = 0 is

A. 5 B. 4 C. 2 D. 3

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18. The coordinates of the centroid of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) are

A. ((x1+x2+x3)/3, (y1+y2+y3)/3) B. (x1+x2+x3, y1+y2+y3) C. (x1/3 + x2/3 + x3/3, y1/3 + y2/3 + y3/3) D. ((x1-x2-x3)/3, (y1-y2-y3)/3)

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19. The condition for three points to be collinear is

A. Area of the triangle formed by the points is zero B. Slope of one pair of points equals the slope of another C. Both A and B D. None of these

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20. The equation of the tangent to the parabola y^2 = 4ax at point (x1, y1) is

A. yy1 = 2a(x + x1) B. yy1 = a(x + x1) C. xy1 = a(x + x1) D. yy1 = 4a(x + x1)