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Find the equation of the circle passing ...

Find the equation of the circle passing through the origin and through the points of contact of tangents from the origin to the circle.
`x^(2) + y^(2) - 11x + 13y + 17 = 0`

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To find the equation of the circle passing through the origin and through the points of contact of tangents from the origin to the given circle, we will follow these steps: ### Step 1: Identify the given circle's equation The equation of the given circle is: \[ x^2 + y^2 - 11x + 13y + 17 = 0 \] ...
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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION - J ( Aakash Challengers Questions )
  1. Find the equation of the circle passing through the origin and through...

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  2. Find the angle between the two tangents from the origin to the circle ...

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  3. The area of the triangle formed by the tangent at (3, 4) to the circle...

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  4. If P(1), P(2), P(3) are the perimeters of the three circles, S(1) :...

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  5. If (1, a), (b, 2) are conjugate points with repect to the circle x^(2)...

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  6. Area of the equilateral triangle inscribed in the circle x^(2) + y^(2)...

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  7. A solid sphere of radius R/2 is cut out of a solid sphere of radius R ...

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  8. The range of parameter ' a ' for which the variable line y=2x+a lies b...

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  9. A planet of mass m moves along an ellipse around the sun (mass M) so t...

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  10. There are exactly two points on the ellipse x^2/a^2+y^2/b^2=1,whose di...

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  11. The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, tou...

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  12. A point P moves such that the sum of the slopes of the normals drawn f...

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  13. A rectangular hyperbola whose centre is C is cut by any circle of radi...

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  14. Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter,...

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  15. Tangents are drawn from the points on a tangent of the hyperbola x^2-y...

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  16. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

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  17. Let F(x) = (1+b^(2))x^(2) + 2bx + 1. The minimum value of F(x) is the ...

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