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Radius of the circle that passes through the origin and touches the parabola `y^2=4a x` at the point `(a ,2a)` is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Two straight lines are perpendicular to each other. One of them touche...

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  2. If the tangents and normal at the extremities of focal chord of a para...

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  3. Radius of the circle that passes through the origin and touches the ...

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  4. If A1B1 and A2B2 are two focal chords of the parabola y^2=4a x , then ...

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  5. y=x+2 is any tangent to the parabola y^(2)=8x. The point P on this tan...

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  6. Two parabola have the same focus. If their directrices are the x-and t...

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  7. The triangle P Q R of area A is inscribed in the parabola y^2=4a x suc...

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  8. The length of the chord of the parabola y^(2)=x which is bisected at t...

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  9. The circle x^2+y^2=5 meets the parabola y^2=4x at P and Q . Then the l...

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  10. A line is drawn form A(-2,0) to intersect the curve y^2=4x at Pa n dQ ...

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  11. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whic...

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  12. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

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  13. Let S be the focus of y^2=4x and a point P be moving on the curve s...

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  14. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of ...

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  15. If y(1),y(2),andy(3) are the ordinates of the vertices of a triangle i...

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  16. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

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  17. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

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  18. Parabolas y^(2)=4a(x-c(1))andx^(2)=4a(y-c(2)), where c(1) and c(2) are...

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  19. A circle touches the x-axis and also touches the circle with centre (0...

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  20. The locus of the vertex of the family of parabolas y=(a^(3)x^(2))/(3...

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