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Find the equation of the normal to y=2x^...

Find the equation of the normal to `y=2x^3-x^2+3` at (1,4).

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

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  2. Find the point on the curve y=3x^2+4 at which the tangent is perpendic...

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  3. Find the equation of the normal to y=2x^3-x^2+3 at (1,4).

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  4. Find the point on the curve y=3x^2-9x+8 at which the tangents are equa...

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  5. Find the equation of the tangent to the curve x=theta+sintheta,y=1+cos...

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  6. Find the equation of the normal to the curve x^2+2y^2-4x-6y+8=0 at the...

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  7. The equation of the tangent at (2,\ 3) on the curve y^2=a x^3+b is ...

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  8. Find the equation of the tangent line to the curve y=x^2+4x-16 which i...

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

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  10. Find the angle of intersection of the following curves: x y=6a n dx^2...

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  11. Show that the curves x=y^2a n dx y=k cut at right angles, if 8k^2=1

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  12. The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...

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  13. Determine the quadratic curve y=f(x) if it touches the line y=x at the...

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  14. Find all the tangents to the curve y=cos(x+y),-2pilt=xlt=2pi \ that...

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  15. Find the equation of the normal to the curve y=(1+x)^y+sin^(-1)(sin^2x...

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  16. Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the po...

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  17. Show that the line x/a+y/b=1 touches the curve y=b e^(-x/a) at the p...

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  18. Find the equations of tangent and normal to the ellipse (x^2)/(a^2)+(y...

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  19. Find the equation of the normal to the curve y=2x^2+3sinxa tx=0.

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  20. Find the coordinates of the points on the curve y=x^2+3x+4, the tangen...

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