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Online Practice: Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre for JEE

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Sharpen your mathematics preparation with interactive online practice for Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre. Goodmarks offers 19+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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Q1MathsUnit 10: Co-ordinate Geometry
Draw a circle with centre OO and radius 6cm.6 \mathrm{cm} . Take a point PP outside the circle at a distance of 10cm10 \mathrm{cm} from 0.0 . Draw tangents to the circle from point P.P . Let the tangents intersect the circle in points AA and BB. Find the area of triangle OBPin sq.cm.
Q2MathsUnit 10: Co-ordinate Geometry
The distance from the centre to the circumference.
Q3MathsUnit 10: Co-ordinate Geometry
The ratio of the outer and inner perimeters of a circular path is 23: 22 If the path is 5m5 \mathrm{m} wide what is the diameter of the circle? Also find the area of path enclosed between the two circles.
Q4MathsUnit 10: Co-ordinate Geometry
Between a square of perimeter 44cm44 \mathrm{cm} and a circle of circumference 44cm44 \mathrm{cm} which figure has a larger area and by how much?
Q5MathsUnit 10: Co-ordinate Geometry
Find the equation of the circle which passes through the points (2,-2) and (3,4).(3,4) . And whose centre lies on the line x+y=2\boldsymbol{x}+\boldsymbol{y}=\mathbf{2}
Q6MathsUnit 10: Co-ordinate Geometry
Two parallel chords ABA B and CDC D are 3.9 cm apart and lie on opposite sides of the centre of a circle. If AB=1.4cmA B=1.4 \mathrm{cm} and CD=4cm,C D=4 \mathrm{cm}, find the radius of the circle.
Q7MathsUnit 10: Co-ordinate Geometry
In the figure, O\boldsymbol{O} is the point of intersection of two chords ABA B and CDC D such that OB=ODO B=O D, then triangles OACO A C and ODBO D B are:
Q8MathsUnit 10: Co-ordinate Geometry
The tangents drawn at the ends of a diameter of a circle are ?

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