GTU IMP MCQ Material With Mock Test Material For Mathematics Chapter Co-ordinate geometry, GTU MCQ Quiz Solution Or Book Material One-Click Download Now
Mathematics Chapter Light And Nanotechnology (Q&A)
1. AB =_____ where A (1, 2) and B (2, 3) .
Answer : `\sqrt{2}`
2. Slope of 2x - 3y + 4 = 0 is ____.
Answer : `\frac{2}{-3}`
3. Radius of X² + Y² = 25 is ________.
Answer : 5
4. If A(-1, -2) and B(-3, 4), then AB = _________.
Answer : (-2, 6)
5. If A = (7, -5) and B(3, -2) then AB = ________.
Answer : `\sqrt{2}`
6. The distance between the points (0, 1) and (1, 0) is ______.
Answer : (1, -1)
7. Mid point of the point A (2, 3) and B (8, 7) is ______.
Answer : (5, -2)
8. The slope of the line x - y + 8 = 0 is _______.
Answer : -1
9. Slope of a line 2y + 4x + 2 = 0 is _________.
Answer : `\frac{1}{2}`
10. Slope of the line passing through the points (8, 5) and (-1, 2) is ______.
Answer : 1
11. X- intercept of line 8x - y + 2 =0 is _______.
Answer : `\frac{-1}{4}`
12. Y- intercept of line - y -x - 1 =0 is _______.
Answer : -1
13. Slope of line making an angle π/2 with positive direction of X - axis is ___________.
Answer : 1
14. The slope of line perpendicular to the line 2x + 3y +1 = 0 is ____________.
Answer : `\frac{2}{3}`
15. Center of the circle X² + Y² = 16 is ___________.
Answer : 4
16. Center of the circle X² + Y² - 2x + 4y + 1 = 0 is ___________.
Answer : 2
17. Center of the circle X² + Y² - 4x - 8y - 8 = 0 is ___________.
Answer : 28
18. Radius of the circle X² + Y² - x - y - 1 = 0 is ___________.
Answer : `\frac{\sqrt{6}}{2}`
19. Show that A(3, 8), B(-11, 3) and C(-8, -2) from an isosceles triangle.
Answer : AB = AC
20. Show that A(1, 2), B(2, 3) and C(0, 5) from a right angle triangle.
Answer : AC² = 10
21. Mid point of the point A (2, 1) and B (8, 1) is ______.
Answer : (5, 0)
22. Mid point of the point A (1, 1) and B (2, 1) is ______.
Answer : (`\frac{3}{2}`, 0)
23. Radius of X² + Y² = 169 is ________.
Answer : 13
24. Slope of x - 5y + 4 = 0 is ____.
Answer : `\frac{x}{5}`
25. The distance between the points (1, 1) and (2, 2) is ______.
Answer : (1, 1)
26. Slope of 5x - 5y + 4 = 0 is ____.
Answer : 0
27. The distance between the points (3, 1) and (2, 3) is ______.
Answer : (1, -2)
28. Center of the circle X² + Y² = 25 is ___________.
Answer : 5
29. The midpoints of a line segment joining two points A(2, 4) and B(2, 4)
Answer : (2, 4)
30. Center of the circle X² + Y² - 4x - 8y + k = 0 is r = 4 find the value of k.
Answer : k = 4
31. The midpoints of a line segment joining two points A(3, 4) and B(3, 4)
Answer : (3, 4)
32. 2X² + 2Y² + 4x + 6y - 7 = 0 find the centre and circle equation of...
Answer : r = `\sqrt{\frac{27}{4}}`
33. Prove that (4, 3) is a circum center of triangle ABC where A(9, 3), B(7, -1), C(1, -1).
Answer : 5
34. X² + Y² - 2x + 4y - 1 = 0 find the centre and circle equation of...
Answer : r = `\sqrt{6}`
35. X- intercept of line 4x + y - 11 =0 is _______.
Answer : `\frac{11}{4}`
36. 36X² + 36Y² + 24x - 36y - 23 = 0 equation devided by 36.
Answer : 1
37. Show that the line 3x - 2y + 5 = 0 and 2x + 3y -7 = 0 are mutually perpendicular.
Answer : -1
38. Y- intercept of line 4x + y - 11 =0 is _______.
Answer : 11
39. Find the equation of line passing through point A(-1, 2) and B(1, -2) Also find it's slope.
Answer : m = -2
40. If the radius of circle 2X² + 2Y² - 4x - 8y + k = 0 is 4, then find k.
Answer : k = 16
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