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Points on a Cartesian Plane

a †an gent is...

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a †an gent is drawn to each of the circle x^2+y^2=4 and x^2+y^2=8. if the two †an gents are mutually perpendicular, the locus of their points of intersection is a circle, then centre of circle s

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Q. A tangent is drawn to each of the circles

x^{2} + y^{2} = a^{2}, x^{2} + y^{2} = b^{2}

Show that if the two tangents are mutually perpendicular, the locus of their point of intersection is a circle concentric with the given circles.

Q. From any point P on the circle

x^{2} + y^{2} = 9

two tangents are drawn to circle

x^{2} + y^{2} = 4

x^{2} + y^{2} = 9

at A and B then locus of point of intersection of tangents drawn

x^{2} + y^{2} = 9

at A and B is the curve

Q. Tangents are drawn from the point

(17, 7)

x^{2} + y^{2} = 169.

Assertion: The tangents are mutually perpendicular. because

Reason: The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is

x^{2} + y^{2} = 338.

Q. Assertion :Tangents are drawn from the point

(17, 7)

x^{2} + y^{2} = 169

I

: The tangents are mutually perpendicular Reason: STATEMENT-2: The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is

x^{2} + y^{2} = 338

Q. The locus of point of intersection of perpendicular tangents to the circle

x^{2} + y^{2} = 8

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