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If the tangent to the curve y=x^3+a x...

If the tangent to the curve `y=x^3+a x+b` at `(1,\ -6)` is parallel to the line `x-y+5=0` , find `a` and `b` .

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
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  2. Find the values of a and b if the slope of the tangent to the curve...

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  3. If the tangent to the curve y=x^3+a x+b at (1,\ -6) is parallel to ...

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  4. Find a point on the curve y=x^3-3x where the tangent is parallel ...

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  5. Find the points on the curve x^3-2x^2-2x at which the tangent li...

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  6. Find the points on the curve y^2=2x^3 at which the slope of the ...

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  7. Find the points on the curve x y+4=0 at which the tangents are inc...

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  8. Find the point on the curve y=x^2 where the slope of the tangent...

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  9. At what points on the circle x^2+y^2-2x-4y+1=0 , the tangent is ...

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  10. At what point of the curve y=x^2 does the tangent make an angle of...

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  11. Find the points on the curve y=3x^2-9x+8 at which the tangents a...

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  12. At what points on the curve y=2x^2-x+1 is the tangent parallel t...

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

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  14. Find the points on the curve x^2 + y^2 = 13, the tangent at each one o...

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  15. Find the points on the curve 2a^2y=x^3-3a x^2 where the tangent is ...

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  16. At what points on the curve y=x^2-4x+5 is the tangent perpendicu...

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  17. Find the points on the curve (x^2)/4+(y^2)/(25)=1 at which the tang...

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  18. Find the points on the curve x^2+y^2-2x-3=0 at which the tangents ...

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  19. Find the points on the curve (x^2)/9+(y^2)/(16)=1 at which the tang...

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  20. Show that the tangents to the curve y=7x^3+11 at the points x=2 and...

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