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**Question 1. A point (other than zero) is such that [The abscissa of the point] = [The ordinate of the point] In which quadrants can the point lie?****Solution:** âˆµ The coordinates have opposite signs in II and IV quadrants.

âˆ´ the given point lies in I or III quadrant.**Question 2. A line âˆ M is drawn parallel to X-axis at a distance of 5 units from it. On âˆ M a point P is marked at a distances of 3 units from the Y-axis. What are the coordinates of P?****Solution: **The line **âˆ **M can be above or below the x-axis

âˆ´ co-ordiantes of P are (3, 5) or (â€“3, 5)**Question 3. Which of the following statements are true?****(i) The point (0, â€“4) lies on y-axis****(ii) The perpendicular distance of the point (5, 7) from the x-axis is 5.****(iii) Point (1, â€“1) and (â€“1, 1) lie in the same quadrant.****Solution:** Only the statement (i) is true.

**Question 4. What are the coordinates of origin?****Solution: **(0, 0) are the coordinates of origin.

**Question 5. What is the sign of y-coordinate below the x-axis?****Solution**: It is always negative.

**Question 6. What is the x-coordinate of a point on y-axis?****Solution: **It is always â€˜0â€™.

**Question 7. In which quadrant the point (â€“2, 5) lies?****Solution:** (â€“2, 5) lies in the II-quadrant.

**Question 8. What is the sign of the y-coordinate of a point lying in the III-quadrant?****Solution:** The y-coordinate of a point in III-quadrant is always negative.**Question 9. If the two points are A(â€“2, 7) and B(â€“3, 4) then what is (abscissa of A) â€“ (abscissa of B)?****Solution: **âˆµ abscissa of A = â€“ 2 and abscissa of B = â€“ 3

âˆµ (â€“ 2) â€“ (â€“ 3) = â€“2 + 3 =1**Question 10. If the y-coordinate of a point is zero, then where does this point lie?****Solution:** It lies on the x-axis.**Question 11. What are the coordinates of a point lying on the y-axis at negative 3 units?****Solution**: (0, â€“3)**Question 12. What are the coordinates of a point whose ordinate is 5 and lying on the y-axis.****Solution: **(0, 5).**Question 13. In the following figure, which point has its abscissa as â€“3****Solution:** The point p(â€“3, 3) has its abscissa as â€“3.

**Question 14. Name the collinear points in the above figure?****Solution: **The points P, O and R are collinear.**Question 15. What is the distance of the point (3, â€“ 4) from x-axis?****Solution: **â€“4 units.**Question 16. The origin lies on which of the following? x-axis only, both axis, none of the axes****Solution: **The origin lies on both the axes.**Question 17. The abscissa of a point is 5 and it lies on the x-axis. What are its coordinates?****Solution:** (5, 0).**Question 18. A point lies on the x-axis as well as on the y-axis. What are its coordinates?****Solution:** (0, 0)**Question 19. In which quadrants x and y coordinates have different sign****Solution:** II and IV quadrants.**Question 20. In which quadrants x and y coordinate have same sign?****Solution:** I and III quadrants.

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