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Find the equation of the tangent to the curve `x=sin3t ,y=cos2t` at `t=pi/4dot`

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Find the equation of the tangent to the curve x^2+3y-3=0 , which is...

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  2. Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touc...

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  3. Find the equation of the tangent to the curve x=sin3t ,y=cos2t at t=pi...

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  4. At what point will be tangents to the curve y=2x^3-15 x^2+36 x-21 be p...

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  5. Find the equation of the tangents to the curve 3x^2-y^2=8, which passe...

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  6. Find the angle of intersection of x y=6 and x^2y=12

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  7. Find the angle of intersection of y^2=4x and x^2=4y

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  8. Find the angle between the parabolas y^2=4a x and x^2=4b y at their...

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  9. Show that the curves x=y^2 and x y=k cut at right angles, if 8k^2=1...

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  10. Find the value of p for which curves x^2=9p(9-y) and x^2=p(y+1) cut ea...

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  11. Show that the curves x y=a^2a n dx^2+y^2=2a^2 touch each other

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  12. Show the condition that the curves a x^2+b y^2=1 and a^(prime)\ x^2+...

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  13. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

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  14. A particle is projected from point A, that is at a distance 4R from th...

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  15. Find the angle of intersection of the curves y^2=xandx^2=y

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  16. Find the angle of intersection of curve y=x^2 and x^2+y^2=20

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  17. Find the angle of intersection of curve 2y^2=x^3 and y^2=32 x

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  18. Find the angle of intersection of curve x^2+y^2-4x-1=0 and x^2+y^2-...

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  19. Find the angle of intersection of curve (x^2)/(a^2)+(y^2)/(b^2)=1 a...

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  20. Find the angle of intersection of curve x^2+4y^2=8 and x^2-2y^2=2

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