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Byju's Answer

Standard X

Mathematics

Touching Circles Theorem

If k belong...

Question

If $k$ belongs to set of natural numbers and $l = 1$ the particle moves in the radial direction from circle $C_{k}$ to $C_{k + 1}$ . If particle starts from the point $(- 1, 0)$ , then

it will cross the positive

y -

axis at

(0, 4)

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it will cross the negative

y -

axis at

(0, - 4)

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it will cross the positive

y -

axis at

(0, 5)

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it will cross the negative

y -

axis at

(0, - 5)

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Solution

The correct option is B it will cross the positive $y -$ axis at $(0, 5)$
To cross positive $y -$ axis should cover $\frac{3 π}{2}$ radian.
$∴ ⎛ ⎜ ⎜ ⎜ ⎝ \frac{\frac{3 π}{2}}{1} ⎞ ⎟ ⎟ ⎟ ⎠ = \frac{3 π}{2} = \frac{3}{2} \times 3.14 = 4.75$
i.e., will be on $5^{t h}$ circle.
$\Rightarrow$ point $(0, 5)$

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If k belongs to set of natural numbers and l=1 the particle moves in the radial direction from circle Ck to Ck+1. If particle starts from the point (−1,0), then

The correct option is B it will cross the positive y−axis at (0,5)To cross positive y−axis should cover 3π2radian.∴⎛⎜ ⎜ ⎜⎝3π21⎞⎟ ⎟ ⎟⎠=3π2=32×3.14=4.75i.e., will be on 5th circle.⇒ point (0,5)

If $k$ belongs to set of natural numbers and $l = 1$ the particle moves in the radial direction from circle $C_{k}$ to $C_{k + 1}$ . If particle starts from the point $(- 1, 0)$ , then