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Show that the common tangents to the par...

Show that the common tangents to the parabola `y^2=4x` and the circle `x^2+y^2+2x=0` form an equilateral triangle.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. The vertices A,B, and C of a variable right triangle lie on a parabol...

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  3. Show that the common tangents to the parabola y^2=4x and the circle x^...

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  4. Consider a curve C : y^2-8x-2y-15=0 in which two tangents T1a n dT2 ar...

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  5. Statement 1: The length of focal chord of a parabola y^2=8x making on ...

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  6. Does equation (5x-5)^(2)+(5y+10)^(2)=(3x+4y+5)^(2) represents a parabo...

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  7. If the bisector of angle A P B , where P Aa n dP B are the tangents to...

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  8. If d is the distance between the parallel tangents with positive slop...

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  9. If P(t^(2),2t),tin[0,2], is an arbitrary point on the parabola y^(2)=4...

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  10. If the curve y=a x^2-6x+b pass through (0,2) and has its tangent paral...

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  11. If the locus of the middle of point of contact of tangent drawn to the...

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  12. The minimum area of circle which touches the parabolas y=x^2+1 and y^2...

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  13. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

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  14. The point of intersection of the tangents at the ends of the latus ...

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  15. If the normals of the parabola y^2=4x drawn at the end points of its l...

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  16. From a point A common tangents are drawn to a circle x^2 +y^2 = a^2/2 ...

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  17. If two tangents drawn from a point P to the parabola y^2 = 4x are at r...

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  18. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

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  19. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

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  20. Find the equation of the normal to the curve x^(2) = 4y which passes t...

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