Question

In which quadrant points (-3,4) lies?
• first Quadrant
Second Quadrant
Third Quadrant
Fourth Quadrant​

Answer 1

$\underline{ \boxed {\bold {Question}}}$

Q → In which quadrant points (-3,4) lies?

• First Quadrant

• Second Quadrant

• Third Quadrant

• Forth Quadrant

$\underline{ \boxed {\bold {Answer}}}$

Let point P (x,y) ≡ (-3,4)

So distance of x- coordinate is 3 units left to y-axis.

So distance of y- coordinate is 4 units upside to x-axis.

So point P (-3,4) lies in Second Quadrant.

$\underline{ \boxed {\bold {Easy \: way \: to \: find \: Quadrant \: of \: a \: Point(x,y)}}}$

Here is the easiest trick to find Quadrants.

Point           x-coordinate          y-coordinate        Quadrant

(x,y)                 x = +ve                       y = +ve                1

(x,y)                 x = -ve                       y = +ve                2

(x,y)                 x = -ve                       y = -ve                 3

(x,y)                 x = +ve                       y = -ve                4

$\underline{ \boxed {\bold {\therefore Point \: (-3,4) \: lies \: in \: second \:Quadrant \}}}}$

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

In which quadrant points (-3,4) lies

• First Quadrant

• Second Quadrant

• Third Quadrant

• Fourth Quadrant

CONCEPT TO BE IMPLEMENTED

We know that in two dimensional geometry the Cartesian plane is divided by coordinate axis in 4 quadrant

1. Quadrant I : Both the x - coordinates and y - coordinates are positive

2. Quadrant II : The x - coordinate is negative and the y - coordinate is positive

3. Quadrant III : Both the x - coordinates and y - coordinates are negative

4. Quadrant IV : The x - coordinate is positive and the y - coordinate is negative

EVALUATION

Here the given point is ( - 3,4)

x - coordinates = - 3 : which is negative

y - coordinates = 4 : which is positive

Since the x - coordinate is negative and the y - coordinate is positive

So the point lies on second quadrant

FINAL ANSWER

Hence the correct option is Second Quadrant

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