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NDA || Mathematics || Co-ordinate Geometry || Circle || Quiz

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Question 1

Consider the circles x2 + y2 + 8x + m = 0 and x2 + y2 + 6y + m = 0

What is the distance between the centres of the two circles?

Question 2

Consider the circles x2 + y2 + 4x + m = 0 and x2 + y2 + 6y + m = 0

Find the value of ‘m’ for which the two circles touch each other

Question 3

Find the equation of the circle which touches the x-axis at the origin and whose radius is 3

Question 4

Find the equation of the circle with centre (3,4) and passing through the point (6,7)

Question 5

A flower-bed in the form of a sector has been fenced by a wire of 40 m length. If the flower-bed has the greatest possible area, then what is the radius of the sector?
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Jan 13CDS & Defence