If A = [(x,y): x 2 + y 2 = 25 ] And B = [(x,y): x 2 + 9 y 2 = 144 ] , t h e n A ∩ B contains Options: A . &nbspOne point B . &nbspThree points C . &nbspTwo points D . &nbspFour points

Answer: Option D : D A = Set of all values (x,y) : x 2 + y 2 = 25 = 5 2 B = x 2 144 + y 2 16 = 1 i.e., x 2 ( 12 ) 2 + y 2 ( 4 ) 2 = 1 Clearly , A ∩ B consists of four points.

If A = [(x,y): x2+y2=25] And B = [(x,y): x2+9y2=144], then A∩B contains �

Question

If A = [(x,y):

x^{2} + y^{2} = 25

] And B = [(x,y):

x^{2} + 9 y^{2} = 144], t h e n A \cap B

contains

Options:

A . One point

B . Three points

C . Two points

D . Four points

Answer: Option D
:
D
A = Set of all values (x,y) :

x^{2} + y^{2} = 25 = 5^{2}

If A = [(x,y): X2+y2=25] And B = [(x,y): X2+9y2=144], the...

B =

\frac{x^{2}}{144} + \frac{y^{2}}{16} = 1

i.e.,

\frac{x^{2}}{(12)^{2}} + \frac{y^{2}}{(4)^{2}} = 1

Clearly , A

\cap

B consists of four points.

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