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Find the equation of the tangent line to the curve `y=x^2+4x-16` which is parallel to the line `3x-y+1=0.`

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Find the equation of the normal to the curve x^2+2y^2-4x-6y+8=0 at the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Find the equations of the tangents drawn to the curve y^2-2x^2-4y+8=0....

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  17. Find the equation(s) of normal(s) to the curve 3x^2-y^2=8 which is (ar...

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  18. Find the equation of the tangent line to the curve y=sqrt(5x-3)-2 whic...

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  19. Find the points on the curve 4x^2+9y^2=1 , where the tangents are perp...

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  20. Find the points on the curve 9y^2=x^3 where normal to the curve makes ...

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