The number of solutions of y - x 2-10 x -22 and y -log x- isA- 0B- 1C- 2D- 3

The correct option is A 0y=x^2+10x+22 ⇒ y=(x^2+10x+25 ) 3 ⇒ y=(x+5 )^2 3 Thus y=x^2 is first shifted towards left by 5 units and then moved down by 3 units ...

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Standard XII

Mathematics

f(x) Transforms to f(-x)

The number of...

Question

The number of solution(s) of $y = x^{2} + 10 x + 22$ and $y = log x,$ is

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Solution

The correct option is A $0$
$y = x^{2} + 10 x + 22 \Rightarrow y = (x^{2} + 10 x + 25) - 3 \Rightarrow y = {(x + 5)}^{2} - 3$

Thus $y = x^{2}$ is first shifted towards left by $5$ units and then moved down by $3$ units

As $y = x^{2} + 10 x + 22$ and $y = log x$ does not intersect, hence the number of solution is $0.$

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f(x) Transforms to f(-x)

Standard XII Mathematics

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The number of solution(s) of y=x2+10x+22 and y=logx, is

The correct option is A 0y=x2+10x+22⇒y=(x2+10x+25)−3⇒y=(x+5)2−3 Thus y=x2 is first shifted towards left by 5 units and then moved down by 3 units As y=x2+10x+22 and y=logx does not intersect, hence the number of solution is 0.

The number of solution(s) of $y = x^{2} + 10 x + 22$ and $y = log x,$ is