If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicularlies in the negative direction of x-axis, then the point P hasa) x-coordinate = -5 b) y-coordinate = 5 only c) y-coordinate = -5 onlyd) y-coordinate = 5 or -5
Question
If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicularlies in the negative direction of x-axis, then the point P hasa) x-coordinate = -5 b) y-coordinate = 5 only c) y-coordinate = -5 onlyd) y-coordinate = 5 or -5
Solution
The perpendicular distance of a point from the x-axis is actually the y-coordinate of the point. Since the foot of the perpendicular lies in the negative direction of the x-axis, this does not affect the y-coordinate. Therefore, the point P has a y-coordinate of 5. However, the direction of the x-axis does not affect the y-coordinate, so the y-coordinate could be either positive or negative depending on the location of the point P. Therefore, the correct answer is d) y-coordinate = 5 or -5.
Similar Questions
The coordinates of a point A is (3, 5). A line perpendicular to x–axis passes through point A. Find the length of the line segment from x–axis to A.
Which of the following points lie on the y-axis?a. (0, 3) b. (–3, 0)c. (–5, –1) d. (4, –3)Q.2 What is the ordinate of the point (3, –5)?a. 3 b. – 5c. – 2 d. 0Q.3 The equation of x-axis isa. x = 0 b. y = 0c. x = a d. y = aQ.4 In which of the following quadrants does the point P(–3, –2) lie?a. I b. IIc. III d. IVSection BFill in the blanks.Q.5 The x co-ordinate of a point is its distance from the_______________.Q.6 The co-ordinates of any point on the y axis are of the form.___________________.Q.7 A point which lies on both the axes is______________.Q.8 The point (–2, 1) lies in the _____________ quadrant
P is a point on the graph of y 5x 3 . The coordinates of a point Q are (3, –2). If M is the midpoint of PQ, then M must lie on the line represented by
If the point (x, y) is on the x–axis, which of the following must be true?x = 0y = 0Submitquestion-5-4-3-2-112345-5-4-3-2-1123450xyCDEFkey idea-5-4-3-2-112345-5-4-3-2-1123450xyQuadrant IQuadrant IIQuadrant IIIQuadrant IVsolution-5-4-3-2-112345-5-4-3-2-1123450xyQuadrant IQuadrant IIQuadrant IIIQuadrant IVCDEFQuestions
What is the point-slope equation of the line through the point (−5, 5) that is perpendicular to the line whose equation is 5x = 3y?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.