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In a circle, the major arc is 3 times ...

In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are `90^@a n d\ 270^@` (b) `90^@a n d\ 90^@` `270^@a n d\ 90^@` (d) `60^@a n d\ 210^@`

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In a circle, major arc is 3 times the minor arc i.e. arc `ACB = 3 \arc\ ADB.`
Reflex,`/_AOB=3/_AOB`
Let `/_AOB=x`
Then reflex,`/_AOB=3x`
But angle at `O=360^@`
`x+3x=360^@`
`4x=360^@,x=360^@/4=90^@`
`3x=90^@xx3=270^@`
Hence, angles are ,`270^@ and 90^@`
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RD SHARMA-CIRCLE -All Questions
  1. If A B ,\ B C\ a n d\ C D are equal chords of a circle with O as cen...

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  2. Let C be the mid-point of an arc A B of a circle such that m\ hat...

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  3. In a circle, the major arc is 3 times the minor arc. The correspondi...

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  4. An equilateral triangle A B C is inscribed in a circle with centre...

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  5. In a circle with centre O , AB and C D are two diameters perpendicular...

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  6. Two equal circles of radius r intersect such that each passes throug...

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  7. If A B is a chord of a circle, P and Q are the two points on the c...

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  8. If two diameters of a circle intersect each other at right angles, t...

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  9. If A B C is an arc of a circle and /A B C=135^@, then the ratio of...

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  10. The chord of a circle is equal to its radius. The angle subtended by...

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  11. P Q R S is a cyclic quadrilateral such that P R is a diameter of the...

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  12. If A , B , C are three points on a circle with centre O such that /A...

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  13. A B\ a n d\ C D are two parallel chords of a circle with centre O su...

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  14. In a circle of  radious 17 cm, two parallel chords are drawn on op...

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  15. The greatest chord of a circle is called its (a)radius         (b) ...

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  16. Angle formed in minor segment of a circle is acute     (b)  obtu...

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  17. Number of circles that can be drawn through three non-collinear poi...

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  18. In Figure, O is the centre of the circle such that /A O C\ =130^0,\...

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  19. In Figure, if chords A B\ a n d\ C D of the circle intersect eac...

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  20. In Figure, If /A B C=45^0, then /A O C= 45^0 (b) 60^0 (c) 75^0 (d)...

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