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For the circle x ^(2) + y^(2) + 6x -8y +...

For the circle `x ^(2) + y^(2) + 6x -8y +9=0,` which of the following statement is true ?

A

Circle passes through the point (-3, 4)

B

Circle touches x-axis

C

Circle touches y-axis

D

None of these

Text Solution

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The correct Answer is:
B
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(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.