Phrases Previous Year Questions (PYQs) – Circle – Page 1 of 2

Phrases Previous Year Questions (PYQs) – Circle – Page 1 of 2

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The equation of the circle passing through the point (4,6) and whose diameters are along x + 2y - 5 =0 and 3x - y - 1=0 is

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For the two circles x2+y2=16 and x2+y2−2y=0, there is/are


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The lines 3x – 4y + 4 = 0 and 6x – 8y – 7 = 0 are tangent to the same circle. The radius of the this circle is.

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Find the equation of the circle which passes through (–1, 1) and (2, 1), and having centre on the line x + 2y + 3 = 0 .

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The number of common tangents to the circle  x2+y2=4 and x2+y2−6x−8y=24 is

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The point of intersection os circle  and the line  is

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The circles whose equations are  and  will touch one another externally, if

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A circle with its center in the first quadrant touches both the coordinate axes and the line x -y - 2 = 0. Then the area of the circle is

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The circle x2+y2+αx+βy+γ=0 is the image of the circle x2+y2−6x−10y+30=0 across the line 3x + y = 2. The value of [α+β+γ] is (where [.] represents the floor function.)

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A line passing through P(4, 2) meets the x and y-axis at P and Q respectively. If O is the origin, then the locus of the centre of the circumcircle of ΔOPQ is -

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