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If y=2x+3 is a tangent to the parabola y...

If `y=2x+3` is a tangent to the parabola `y^2=24 x ,` then find its distance from the parallel normal.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Prove that the length of the intercept on the normal at the point P(a ...

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  2. Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+3...

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  3. If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distan...

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  4. Three normals to y^2=4x pass through the point (15, 12). Show that one...

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  5. Find the locus of the point from which the two tangents drawn to the ...

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  6. Find the angle between the tangents drawn from the origin to the parab...

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  7. Find the locus of the point of intersection of the perpendicular ta...

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  8. Three normals are drawn from the point (7, 14) to the parabola x^2-8x-...

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  9. Find the equation of normal to the parabola y=x^2-x-1 which has equal ...

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  10. If y=x+2 is normal to the parabola y^2=4a x , then find the value of a...

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  11. Find the equations of normal to the parabola y^2=4a x at the ends of t...

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  12. The coordinates of the ends of a focal chord of the parabola y^2=4a x ...

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  13. If t1a n dt2 are the ends of a focal chord of the parabola y^2=4a x , ...

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  14. If the length of focal chord of y^2=4a x is l , then find the angle be...

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  15. If length of focal chord P Q is l , and p is the perpendicular distanc...

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

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  17. Find the equation of tangents of the parabola y^2=12 x , which passes ...

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

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

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

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