Point P x - y is a point in the third quadrant of the Cartesian plane- ThenA- x is positive and y is negativeB- x is negative and y is positiveC- x and y both are negativeD- x and y both are positive

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Standard VIII

Mathematics

Cartesian Plane and Coordinate Axes

Point P x , y...

Question

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

x is negative and y is positive

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x is positive and y is negative

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x and y both are negative

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x and y both are 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.

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

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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.

If x, y, z are real and distinct, then $x^{2} + 4 y^{2} + 9 z^{2} - 6 y z - 3 z x - 2 x y$

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

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.

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.