Mathematics Crash Course MHT-CET>Chapter 7 - Circle>Exercise 1>Q 125

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A circle of radius $5$ units touches both the axes and lies in the first quadrant. If the circle makes one complete roll on the $X$ -axis along the positive direction of $X$ -axis, then its equation in the new position is

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Important Questions on Circle

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Mathematics Crash Course MHT-CET>Chapter 7 - Circle>Exercise 1>Q 127

A variable chord is drawn through the origin to the circle

x^{2} + y^{2} - 2 a x = 0 .

The locus of the centre of the circle drawn on this chord as diameter is

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Mathematics Crash Course MHT-CET>Chapter 7 - Circle>Exercise 1>Q 128

The equation of a circle of area

22 π

sq units for which each of the two lines

2 x + y = 2

and

x - y = - 5

is diameter, is

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Mathematics Crash Course MHT-CET>Chapter 7 - Circle>Exercise 1>Q 129

The equation to the circle whose radius is

4

and which touches the negative

x

-axis at a distance

3

units from the origin is

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Mathematics Crash Course MHT-CET>Chapter 7 - Circle>Exercise 1>Q 132

The length of intercept on

y

-axis, by a circle whose diameter is the line joining the points

(- 4, 3)

and

(12, - 1)

is

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Mathematics Crash Course MHT-CET>Chapter 7 - Circle>Exercise 1>Q 135

A circle is drawn touching the

x

-axis and centre at the point which is the reflection of

(a, b)

in the line

y - x = 0

. The equation of the circle is

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Mathematics Crash Course MHT-CET>Chapter 7 - Circle>Exercise 1>Q 136

Equation of the circle which touches the coordinate axes and passes through the point

(2, 1)

is

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Mathematics Crash Course MHT-CET>Chapter 7 - Circle>Exercise 1>Q 138

Number of different circles that can be drawn touching

3

lines, no two of which are parallel and they are neither coincident nor concurrent, are

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Mathematics Crash Course MHT-CET>Chapter 7 - Circle>Exercise 1>Q 139

A pair of tangents are drawn from the origin to the circle

x^{2} + y^{2} + 20 (x + y) + 20 = 0

. The equation of the pair of tangents is