JEE MATHS UNIT 10
QUIZ NO 4
TOTAL QUESTIONS = 20
1. The slope of the line passing through (3, 4) and (6, 8) is
A. 4/3
B. 1
C. 3/2
D. 1/2
2. The distance between the points (3, 4) and (0, 0) is
A. 5
B. 6
C. 7
D. 4
3. The equation of the line passing through (1, 2) with slope 3 is
A. y - 2 = 3(x - 1)
B. y - 1 = 3(x - 2)
C. y = 3x + 2
D. y = 2x + 3
4. The equation of a line parallel to y = 4x + 5 and passing through (2, 3) is
A. y - 3 = 4(x - 2)
B. y = 4x + 3
C. y = 2x + 5
D. y = 4x - 2
5. The equation of the circle with center (3, -2) and radius 5 is
A. (x - 3)^2 + (y + 2)^2 = 25
B. (x + 3)^2 + (y - 2)^2 = 25
C. (x - 3)^2 - (y + 2)^2 = 25
D. (x + 3)^2 - (y - 2)^2 = 25
6. The reflection of the point (4, -5) in the y-axis is
A. (-4, -5)
B. (4, 5)
C. (-4, 5)
D. (4, -5)
7. 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
8. The condition for two lines to be perpendicular is
A. m1 * m2 = -1
B. m1 = m2
C. m1/m2 = -1
D. m1 + m2 = 0
9. The midpoint of the line joining (1, 2) and (5, 6) is
A. (3, 4)
B. (2, 5)
C. (4, 3)
D. (5, 5)
10. The equation of the parabola y^2 = 4ax has its vertex at
A. (0, 0)
B. (a, 0)
C. (-a, 0)
D. (0, -a)
11. The length of the latus rectum of the parabola y^2 = 4ax is
A. 4a
B. 2a
C. a
D. a/2
12. The equation of a hyperbola with transverse axis along x-axis is
A. x^2/a^2 - y^2/b^2 = 1
B. x^2/a^2 + y^2/b^2 = 1
C. y^2/a^2 - x^2/b^2 = 1
D. y^2/a^2 + x^2/b^2 = 1
13. The foci of the ellipse x^2/16 + y^2/9 = 1 are
A. (±sqrt(7), 0)
B. (0, ±sqrt(7))
C. (±4, 0)
D. (0, ±3)
14. The equation of a circle passing through (1, 2) and (4, 5) with center (2, 3) is
A. (x - 2)^2 + (y - 3)^2 = 5
B. (x - 2)^2 + (y - 3)^2 = 25
C. (x - 2)^2 + (y - 3)^2 = 9
D. (x - 2)^2 + (y - 3)^2 = 4
15. The area of the triangle formed by the points (0, 0), (4, 0), and (0, 6) is
A. 12
B. 24
C. 6
D. 18
16. The equation of a line passing through the origin and making an angle of 45 degrees with the x-axis is
A. y = x
B. y = -x
C. x + y = 1
D. x - y = 1
17. The equation of the directrix of the parabola y^2 = 4ax is
A. x = -a
B. x = a
C. y = a
D. y = -a
18. The radius of the circle x^2 + y^2 + 6x - 8y + 9 = 0 is
A. 5
B. 4
C. 3
D. 2
19. The coordinates of the center of the ellipse x^2/25 + y^2/16 = 1 are
A. (0, 0)
B. (5, 4)
C. (0, 4)
D. (4, 0)
20. The slope of the line perpendicular to y = 2x + 3 is
A. -1/2
B. 1/2
C. -2
D. 2
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