Phrases Circle Previous Year Question Paper and Solution with PDF

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Phrases Previous Year Questions (PYQs)

Phrases Circle PYQ

Qus : 1

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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Qus : 2

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

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Qus : 3

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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Qus : 4

The point of intersection os circle

and the line

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Qus : 5

The circles whose equations are

and

will touch one another externally, if

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Qus : 6

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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Qus : 7

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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Qus : 8

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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Qus : 9

Find the number of point(s) of intersection of the ellipse

and the circle x² + y² = 4

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Qus : 10

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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Qus : 11

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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Solution

Qus : 12

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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Solution

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