Question

If the coordinates of point M are (-2,9) which can 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).....

please do on a paper

Answer 1

hope this answer helps u :)

Answer 2

Concept:

A quadrant is a region defined by the two axes (x-axis and y-axis) of the coordinate system creating four different spaces.

Given:

The point M(-2,9) can be expressed as (1+x, y²), y>0.

Find:

We are asked to find the quadrants in which the points P, Q, R & S, lies.

Solution:

As M(-2,9) = (1+x,y²)

∴ 1 + x =-2 ⇒ x = -3

∴ 9 = y² ⇒ y = 3

∴ The given points will be

• P(y,x) = (3,-3) ⇒ 4th quadrant
• Q(2,x) = (2,-3) ⇒ 4th quadrant
• R(x²,y-1) = (9,2) ⇒ 1st quadrant
• S(2x,-3y) = (-6,-9) ⇒ 3rd quadrant

Hence, P,Q,R,&S lies in 4, 4, 1 & 3 quadrant respectively.

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