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Find the equation of the tangent to the parabola `y^(2)=8x` having slope 2 and also find the point of contact.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the length of focal chord of y^(2)=4ax is l, then find the angle be...

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  2. If the length of focal PQ is 'l', and 'p' is the perpendicular distan...

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  3. Find the equation of the tangent to the parabola y^(2)=8x having slope...

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  4. Find the equations of the tangents of the parabola y^(2)=12x, which pa...

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  5. If line y=3x+c touches the parabola y^(2)=12 at point P, then find the...

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  6. Find the equation of the tangent to the parabola y=x^(2)-2x+3 at point...

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  7. Find the equation of the tangent to the parabola x=y^(2)+3y+2 having s...

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  8. Find the equation of tangents drawn to the parabola y=x^(2)-3x+2 from ...

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  9. If a tangent to the parabola y^(2)=4ax meets the x-axis at T and inter...

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  10. The parabola y^2=4x and the circle having its center at (6, 5) interse...

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  11. The tangents to the parabola y^(2)=4ax at the vertex V and any point P...

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  12. Show that xcosalpha+ysinalpha=p touches the parabola y^2=4a x if pcosa...

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  13. A tangent to the parabola y^(2)=8x makes an angle of 45^(@) with the s...

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  14. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

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  15. If the lines L(1)andL(2) are tangents to 4x^(2)-4x-24y+49=0 and are no...

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  16. Find the shortest distance between the line y=x-2 and the parabola y=x...

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  17. If two tangents drawn from the point (alpha,beta) to the parabola y^(2...

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  18. Find dy/dx , tan^(-1){(cosx - sinx)/(cosx + sinx)} .

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  19. Find the angle at which normal at point P(at^(2),2at) to the parabola ...

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  20. If tangents are drawn to y^(2)=4aax from any point P on the parabola y...

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