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Phrases Previous Year Questions (PYQs)

Phrases Circle PYQ

Phrases PYQ
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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Phrases PYQ

For the two circles $x^2+y^2=16$ and $x^2+y^2-2y=0$, there is/are






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Phrases PYQ
The number of common tangents to the circle  $x^2+y^2=4$ and $x^2+y^2-6x-8y=24$ is





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Phrases PYQ
The point of intersection os circle  and the line  is





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





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Phrases PYQ
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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Phrases PYQ
The circle $x^2 + y^2+ \alpha x+ \beta y+ \gamma=0$ is the image of the circle $x^2 + y^2- 6x- 10y+ 30=0$ across the line 3x + y = 2. The value of $[\alpha+ \beta+ \gamma]$ is (where [.] represents the floor function.)





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Phrases PYQ
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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Phrases PYQ
Find the number of point(s) of intersection of the ellipse  and the circle  x2 + y2 = 4





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A circle touches the X-axis and also touches another circle with centre at (0, 3) and radius 2. Then the locus of the centre of the first circle is





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Phrases PYQ
The radius of the circle passing through the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{9}$and having it centre at (0, 3) is





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If two circles $x^{2}+y^{2}+2gx+2fy=0$ and $x^{2}+y^{2}+2g'x+2f'y=0$ touch each other then whichof the following is true?





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Phrases

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