A circle drawn with origin as the centre passes through nbsp-52- -160-0- Does the point nbsp-52-52 nbsp-lies in its interior or exterior-

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Byju's Answer

Standard X

Mathematics

Equation of Circle(Centre-Radius Form)

A circle draw...

Question

A circle drawn with origin as the centre passes through $(\frac{5}{2}, 0)$ . Does the point $(\frac{5}{2}, \frac{5}{2})$ lies in its interior or exterior?

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Solution

Dear Student,

$L e t u s f i n d t h e r a d i u s o f t h e g i v e n c i r c l e b y c a l c u l a t i n g D i s \tan c e b e t w e e n t h e p o i n t (0, 0) a n d (\frac{5}{2}, 0) u \sin g D i s \tan c e f o r m u l a e, i . e, r a d i u s = \sqrt{{(\frac{5}{2} - 0)}^{2} + {(0 - 0)}^{2}} = \sqrt{{(\frac{5}{2})}^{2}} = \frac{5}{2} u n i t s N o w, l e t u s f i n d t h e d i s \tan c e b e t w e e n t h e p o i n t s (0, 0) a n d (\frac{5}{2}, \frac{5}{2}) W e g e t, \sqrt{{(\frac{5}{2} - 0)}^{2} + {(\frac{5}{2} - 0)}^{2}} = \sqrt{{(\frac{5}{2})}^{2} + {(\frac{5}{2})}^{2}} = \frac{5}{2} \sqrt{2} > \frac{5}{2} (r a d i u s) S o, p o i n t (\frac{5}{2}, \frac{5}{2}) l i e s e x t e r i o r o f t h e c i r c l e .$

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Q. Question 16
If a circle drawn with origin as the centre, passes through

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A circle drawn with origin as the centre passes through 52, 0. Does the point 52,52 lies in its interior or exterior?

A circle drawn with origin as the centre passes through $(\frac{5}{2}, 0)$ . Does the point $(\frac{5}{2}, \frac{5}{2})$ lies in its interior or exterior?