A circle touches Y Axes 2013 and makes an interce

Question

A circle touches Y Axes 2013 and makes an intercept of two unit on the planexl x axis intercept made made by circle online root 10 x minus 3 Y = 1 is

Samyak Jain · Accepted Answer

Let r be the radius of given circle.Distance between y-axis and centre C of the circle is r ( y-axis is tangent.) C(r,3).Draw perpendicular from C on x-axis at say, M.The perpendicular bisects the intercept made by the circle on the x-axisbecause it is a chord of the circle.Let the circle intersects x-axis at P and Q. by Pythagoras theorem, CP2 = CM2 + PM2i.e. r2 = 32 + 12 = 10r =units Centre of the circle is ( , 3).Clearly, ( , 3) satisfies the equationx – 3y – 1 = 0,i.e., given line passes through the centre and is a diameter of the circle. intercept made by the circle on the linex – 3y – 1 = 0 is equal to2r = 2 units

Analytical Geometry> A circle touches Y Axes 2013 and makes an...

A circle touches Y Axes 2013 and makes an intercept of two unit on the planexl x axis intercept made made by circle online root 10 x minus 3 Y = 1 is

Sanket , 5 Years ago

Samyak Jain

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Analytical Geometry> A circle touches Y Axes 2013 and makes an...

A circle touches Y Axes 2013 and makes an intercept of two unit on the planexl x axis intercept made made by circle online root 10 x minus 3 Y = 1 is

Sanket , 5 Years ago

Samyak Jain

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

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