(A) Let the equation of the circle be $S: x^2 + y^2 + 2x + 6y - 15 = 0$.To determine the position of the point $(0, 0)$ with respect to the circle,we

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(A) Let the equation of the circle be $S: x^2 + y^2 + 2x + 6y - 15 = 0$.To determine the position of the point $(0, 0)$ with respect to the circle,we substitute the coordinates $(0, 0)$ into the expression $S$.$S_1 = (0)^2 + (0)^2 + 2(0) + 6(0) - 15 = -15$.Since $S_1 Therefore,no tangent can be drawn from a point inside the circle to the circle itself.

Class 11 Mathematics 1 Conic Sections: Circle Geometrical problems regarding circle and its properties

Medium

The number of tangents that can be drawn from $(0, 0)$ to the circle $x^2 + y^2 + 2x + 6y - 15 = 0$ is

A
None
B
One
C
Two
D
Infinite

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1 Conic Sections: Circle

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Geometrical problems regarding circle and its properties

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The number of tangents that can be drawn from $(0, 0)$ to the circle $x^2 + y^2 + 2x + 6y - 15 = 0$ is

Similar Questions

$A$ circle is inscribed in an equilateral triangle of side length $6$. Find the area of the square inscribed in this circle.

The length of the chord intercepted by the circle $x^2 + y^2 = 1$ on the line $x + y = 1$ is:

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