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Conic Section

Short Answer Type

21.

Does the point (-2.5, 3.5) lie inside, outside or on the circle $straight x squared plus straight y squared equals 25$ ?

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22.

Does the point (2, -1) lie inside, or on the circle $straight x squared plus straight y squared plus 6 straight x minus 2 straight y minus 6 equals 0$ ?

126 Views

23.
Find the equation of the circle whose centre and radii are:
Centre (-3, -2), radius 7

Solution not provided.
Ans. $space space space straight x squared plus straight y squared plus 6 straight x plus 4 straight y minus 36 equals 0$

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24.

Find the equation of the circle whose centre and radii are:
Centre (a, a), radius $space square root of 2 straight a$

104 Views

25.

Find the equation of the circle whose centre and radii are:
Centre $open parentheses 1 half comma space 1 half close parentheses comma space radius space fraction numerator 1 over denominator square root of 2 end fraction$

90 Views

26. Find the equation of the circle whose centre and radii are:
Centre (-a, -b), radius

square root of straight a squared plus straight b squared end root

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27. Find the equation of the circle whose centre and radii are:
Centre at origin, radius

2 over 3 straight a

125 Views

28. Find the equation of the circle whose centre and radii are:
Centre

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29. Find the equation of circle whose centre is (3, – 1) and which passes through point (– 1, 2).

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30. Find the equation of a circle whose centre is at point (h, k) and which passes through point (a, b).