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Q.1. Is it correct that if any point on the X-axis, then the y-coordinate will be zero?
Yes, because the distance from X-axis is zero.
Q.2. In cartesian plane, the angle between two axes is not always!-90°.
False, the angle between two axes is always 90°.
Q.3. Is the point (-7,2), same as point (2,-7)?
No, in coordinates of a point, their order matters, so (-7,2) is not same as (2, – 7).
Q.4. A point (- 2,- 6) lies in which quadrant?
Q.5. What is the image of (- 1, 4) in 3rd quadrant?
Q.6. What type of graph do you get for y = – 2?
A straight line parallel to X-axis at a distance of 2 units from origin below the X-axis.
Q.7. What do you mean by a cartesian system?
The system used to describe the position of a point in a plane, is called cartesian system.
Q.8. What is the condition that linear equation ax + by = c, c ≠ 0 perpendicular to any one of the axis?
The linear equation ax + by = c is perpendicular to any one of the axis, if either a = 0 or b = 0.
Q.9. Find the new coordinates of a point (2, 3), when we rotate the axes at 180° in anti-clockwise direction.
When we rotate the axes, the positive X and Y-axes will become negative. So, the new coordinates will be (-2, -3).
Q.10. In cartesian system, X-axis and Y-axis divide the graph paper in how many quadrants?
Q.11. What type of graph do you get forx = – 2?
A straight line parallel to Y-axis at a distance of 2 units from origin lying in the left side of Y-axis.
Q.12. What is the image of (- 3, -1) in 2nd quadrant?
Q.13. What is the ordinate of point lying in third quadrant at a distance of 2 units from X-axis and 5 units from Y-axis?
– 2, because is third quadrant y-coordinate is negative.