# Cartesian system

## Trending Questions

**Q.**Point (-3, 4) lies in 3rd quadrant

- False
- True

**Q.**In which quadrant does the point (5, -6) lie?

- 1st Quadrant
- 4th quadrant
- 3rd quadrant
- It doesn’t lie in any quadrant

**Q.**Question 2

Plot the following points and write the name of the figure obtained by joining, them in order.

P(-3, 2), Q(-7, -3), R(6, -3) and S(2, 2).

**Q.**If the coordinates of a point M are (-2, 9) which can also be expressed as(1+x, y2) and y > 0, then find in which quadrant do the following points lie : P(y, x), Q(2, x), R(x2, y−1), S(2x, -3y).

**Q.**Find the image of point (2, 3) under the line x-axis.

**Q.**

The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0) then the distance of point B from the origin is

**Q.**What are the coordinates of the points that lie in the second quadrant?

- (-3, -2), (-1, -3), and (-3, -5)
- (2, 3), (3, 1) and (5, 3)
- (2, -2), (3, -3) and (2, -5)
- (-3, 4), (-2, 3) and (-4, 1)

**Q.**Point (-3, 4) lies in 3rd quadrant

- False
- True

**Q.**

What is the difference between the ordinates of the points (−2, 3) and (5, 8)?

5

7

10

3

**Q.**If point P (x, y) falls in the IInd quadrant then what will be the sign of x and y?

- (-, +)
- (+, +)
- (-, -)
- (+, -)

**Q.**

Answer the following questions: [3 MARKS]

(a) In which quadrant will the point lie, if the abscissa is –10 and the ordinate is – 4.

(b) Draw a rectangle PQRS in which vertices P, Q, R and S are (1, 4), (-5, 4), (-5, -3) and (1, -3) respectively.

**Q.**

The distance of any point from the $y-\mathrm{axis}$ is the __________ coordinate.

**Q.**

Which of the points lie in the IV quadrant?

True

False

- (2, -4)
- (0.2, -100 )

**Q.**

In which quadrant or on which axis do each of the points (3, -1), (-1, 0), (1, 2) and (-3, -5) lie? Verify your answer by locating them on the Cartesian plane

[4 MARKS]

**Q.**Which of the following graph shows the correct plotting of point P(-2, 3)?

**Q.**A point whose abscissa and ordinate are 2 and −5 respectively, lies in

(a) First quadrant

(b) Second quadrant

(c) Third quadrant

(d) Fourth quadrant

**Q.**In which quadrant or on which axis do each of the points (−2, 4), (3, −1), (−1, 0), (−3, −5) and (0, −1) lie?

**Q.**

All points with $y-$coordinate as zero lie on the ____________

**Q.**For x=2, y=−1, u=3, v=2 the point (x×y, u×v) will lie in which quadrant?

- I quadrant
- II quadrant
- III quadrant
- IV quadrant

**Q.**

The dependent variables are typically represented in which of the following positions in a Cartesian co-ordinate system?

- Quadrant
x-axis

y-axis

- Origin

**Q.**A right triangle is formed by connecting the 3 coordinates A, B and C as shown in figure. Find the point B if AB and BC are parallel to the coordinate axes.

- (3, 2)
- (5, 4)
- (1, 1)
- (2, 1)

**Q.**The points on the x-axis that are to the left of the origin are

- positive
- negative
- zero

**Q.**For p=4, q=5, u=4, v=−3 the point (p+q, u×v) will lie in which quadrant?

- I quadrant
- II quadrant
- III quadrant
- IV quadrant

**Q.**

Use the following information to answer the next question

What are the respective coordinates of points A and B in the given graph?

(3, −1) and (2, −3)

(3, 1) and (−3, −2)

(1, 3) and (−2, −3)

(−1, 3) and (−2, 3)

**Q.**

The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-3, 0) then the distance of point B from the origin is ___ units.

0

1

-1

Any number

**Q.**Match the following columns:

Column I | Column II |

(a) The point A(−3, 0) lies on | (p) y-axis |

(b) The point B(−5, −1) lies in quadrant | (q) IV |

(c) The point C(2, −3) lies in quadrant | (r) III |

(d) The point D(0, −6) lies on | (s) x-axis |

(b) ......,

(c) ......,

(d) ......,

**Q.**Which of the following are the coordinates of the point whose ordinate is 6 and abscissa is -3?

- (6, -3)
- (-3, 6)
- (3, 6)
- (6, 3)

**Q.**Point (0, 7) lies on the x-axis.

- False
- True

**Q.**Points A(5, 3) B(-2, 3) and D(5, -4) are three vertices of a square ABCD. Plot these points on a graph paper and hence, find the coordinates of the vertex C. (2 marks)

**Q.**

the transverse axis of a hyperbola lies along the x-axis and its center is at the origin. the length of the conjugate axis is 8 and the point (3, 3) lies on the hyperbola.

find its eccentricity and the length of latus rectum.