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Lines Parallel to Coordinate Axes

Point P x , y...

Question

Point P(x,y) is a point in the third quadrant of the Cartesian plane. Then

A

x and y both are positive

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B

x is positive and y is negative

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C

x and y both are negative

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D

x is negative and y is positive

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Solution

The correct option is C
x and y both are negative

The four quadrants are such that the first has both x and y coordinates positive, second has only x coordinate negative, third has both coordinates negative and fourth has only y coordinate negative.

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Similar questions

Q. In which quadrant does the point lie if:

(i) Both the co-ordinates are positive?
(ii) Both the co-ordinates are negative?
(iii) x-co-ordinate is negative and y-co-ordinate is positive
(iv) x-co-ordinate is positive and y-co-ordinate is negative?

In which quadrant are the following points ?

(i) whose both co-ordinates are positive.

(ii) whose both co-ordinates are negative.

(iii) whose x co-ordinate is positive, and the y co-ordinate is negative.

(iv) whose x co-ordinate is negative and y co-ordinate is positive.

Consider the situation shown in figure. What are the signs of $q_{1} a n d q_{2}$ ?

Q. Question 1
Point (-3, 5 ) lies in the

A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant

Thinking process
(i) Firstly, check the sign of each coordinate of a point.
(ii) If both coordinates x and y has the same positive sign, i.e(+ .+), then the point lies in the first quadrant.
(iii) If x coordinate has the negative sign and y-coordinate has positive sign i.e( -, +), then the point lies in the second quadrant.
(iv) if both coordinate x and y has negative sign i.e ( -, -) then the point lies in the third quadrant.
(v) if x coordinate has a positive sign and y-coordinate has negative sign i.e (+, -), then the point lies in the fourth quadrant.

Choose the correct answer:

The product of two numbers is positive and their sum negative only when

A. both are positive

B. both are negative

C. one positive the other negative

D. one of them equal to zero

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