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Write the parametric form of equation of tangents drawn from any point on the circle `x^(2) + y^(2) = 25`

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If the chord of contact of the tangents drawn from a point on the circle x^2+y^2=a^2 to the circle x^2+y^2=b^2 touches the circle x^2+y^2=c^2 , then prove that a ,b and c are in GP.

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If the length of the tangent drawn from (f, g) to the circle x^2+y^2= 6 be twice the length of the tangent drawn from the same point to the circle x^2 + y^2 + 3 (x + y) = 0 then show that g^2 +f^2 + 4g + 4f+ 2 = 0 .

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then

Find the parametric form of the equation of the circle x^2+y^2+p x+p y=0.

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ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
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  6. x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...

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  8. Find the derivative of secx + cosecx

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  9. Find the derivative of cos(x - pi/8)

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  10. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

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  12. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

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  13. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

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  14. A circle has the same center as an ellipse and passes through the foci...

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  15. The area of the rectangle formed by the perpendiculars from the centre...

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  16. An ellipse is inscribed in a circle and a point within the circle is c...

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  17. An ellipse slides between two perpendicular straight lines. Then id...

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  18. If one of the circles x^(2)+y^(2)+2ax+c=0andx^(2)+y^(2)+2bx+c=0 lies w...

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