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

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the equation of tangents of the parabola y^2=12 x , which passes ...

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

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

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  4. Find the equation of the tangent to the parabola x=y^2+3y+2 having slo...

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  5. Find the equation of tangents drawn to the parabola y=x^2-3x+2 from th...

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  6. If a tangent to the parabola y^2=4a x meets the x-axis at T and inters...

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

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  8. The tangents to the parabola y^2=4a x at the vertex V and any point P ...

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

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  10. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

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

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  12. If the lines L1 and L2 are tangents to 4x^2-4x-24 y+49=0 and are norma...

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

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

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

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

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  17. If tangents are drawn to y^2=4a x from any point P on the parabola y^2...

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  18. Find the equation of a parabola having its focus at S(2,0) and one ext...

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  19. Find the equation of a parabola having focus at (0,-3) and directrix y...

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  20. Find the equation of a parabola having its vertex at A(1,0) and focu...

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