JEE MATHS UNIT 10 QUIZ NO 2 TOTAL QUESTIONS = 20 Mock Test Quiz Free MCQ pyqonline.com

JEE MATHS UNIT 10
QUIZ NO 2
TOTAL QUESTIONS = 20

1. The distance between the points (2, 3) and (5, 7) is

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

2. The slope of the line passing through (1, 2) and (4, 6) is

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

3. The equation of a line with slope 3 and passing through the point (2, 5) is

A. y - 5 = 3(x - 2) B. y = 3x + 2 C. y - 2 = 3(x - 5) D. y = 2x + 3

4. The condition for two lines to be perpendicular is

A. m1 * m2 = -1 B. m1 = m2 C. m1/m2 = -1 D. m1 + m2 = 0

5. The equation of the circle with center (4, -3) and radius 6 is

A. (x - 4)^2 + (y + 3)^2 = 36 B. (x + 4)^2 + (y - 3)^2 = 36 C. (x - 4)^2 - (y + 3)^2 = 36 D. (x + 4)^2 - (y - 3)^2 = 36

6. The eccentricity of the hyperbola x^2/16 - y^2/9 = 1 is

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

7. The equation of the ellipse with foci at (0, ±3) and major axis 8 is

A. x^2/16 + y^2/7 = 1 B. x^2/16 + y^2/9 = 1 C. x^2/9 + y^2/16 = 1 D. x^2/7 + y^2/16 = 1

8. The equation of the parabola with vertex at (0, 0) and focus at (3, 0) is

A. y^2 = 12x B. x^2 = 12y C. x^2 = 9y D. y^2 = 9x

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

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

10. The reflection of the point (2, -5) in the x-axis is

A. (2, 5) B. (-2, -5) C. (-2, 5) D. (2, -5)

11. The midpoint of the line joining (4, 5) and (6, 7) is

A. (5, 6) B. (4, 6) C. (5, 5) D. (6, 6)

12. The condition for three points (x1, y1), (x2, y2), (x3, y3) to be collinear is

A. Area of the triangle formed is 0 B. Slope of one line equals slope of another C. Both A and B D. None of these

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

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

14. The area of the triangle formed by the points (0, 0), (4, 0), and (0, 3) is

A. 6 B. 12 C. 10 D. 4

15. The equation of a circle passing through (1, 2) and (3, 4) and having its center at (2, 3) is

A. (x - 2)^2 + (y - 3)^2 = 1 B. (x - 2)^2 + (y - 3)^2 = 2 C. (x - 2)^2 + (y - 3)^2 = 3 D. (x - 2)^2 + (y - 3)^2 = 4

16. The length of the diagonal of a rectangle with vertices (0, 0), (4, 0), (4, 3), and (0, 3) is

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

17. The focus of the parabola x^2 = 16y is

A. (0, 4) B. (4, 0) C. (-4, 0) D. (0, -4)

18. The equation of a tangent to the circle x^2 + y^2 = 25 at the point (3, 4) is

A. 3x + 4y = 25 B. 4x - 3y = 25 C. 3x + 4y = 15 D. 4x + 3y = 25

19. The equation of a line passing through the points (2, 3) and (4, 5) is

A. y - 3 = x - 2 B. y - 5 = x - 4 C. y - 3 = 2(x - 2) D. y - 3 = x + 2

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

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

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