The number of points of intersection of the graphs of x -12- y 2-9-0 and - y -ln - x -1- is -A- 4 when x -0- -B- 2 when x -2- -C- 2 when x -2-0D- 3 when x -0

The correct options are A 4 when x ∈ (0, ∞) B 2 when x ∈ (2, ∞) C 2 when x ∈ ( 2, 0) D 3 when x lt; 0image **** so total 7 solutions **** ...

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Byju's Answer

Standard XII

Mathematics

Graph of |x|

The number of...

Question

The number of points of intersection of the graphs of $(x - 1)^{2} + y^{2} - 9 = 0$ and $| y | = | ln (| x | - 1) |$ is -

4

when

x \in (0, \infty)

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2

when

x \in (2, \infty)

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2

when

x \in (- 2, 0)

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3

when

x < 0

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Solution

The correct options are
A $4$ when $x \in (0, \infty)$
B $2$ when $x \in (2, \infty)$
C $2$ when $x \in (- 2, 0)$
D $3$ when $x < 0$
image

so total 7 solutions

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The number of points of intersection of the graphs of (x−1)2+y2−9=0 and |y|=|ln(|x|−1)| is -

The correct options are A 4 when x ∈ (0,∞) B 2 when x ∈ (2,∞) C 2 when x ∈ (−2,0) D 3 when x<0image **** so total 7 solutions ****

The number of points of intersection of the graphs of $(x - 1)^{2} + y^{2} - 9 = 0$ and $| y | = | ln (| x | - 1) |$ is -

The correct options are
A $4$ when $x \in (0, \infty)$
B $2$ when $x \in (2, \infty)$
C $2$ when $x \in (- 2, 0)$
D $3$ when $x < 0$
image

so total 7 solutions