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The point on the curve y=x^3+x-2, the ta...

The point on the curve `y=x^3+x-2`, the tangent at which is parallel to the line `y=4x-1` is

A

`(1,0),(-1,-4)`

B

`(0,-1),(-2,3)`

C

`(2,13),(-2,-3)`

D

`(1,2),(1,-2)`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The point on the curve y=x^2+5, the tangent at which is perpendicular ...

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  2. The curvey-e^(xy)+x=0 has a vertical tangent at the point

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  3. The point on the curve y=x^3+x-2, the tangent at which is parallel to ...

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  4. The line x//a+y//b=1 is a tangent to curve y=be^(-x//a) at the point

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  5. The points on the curve y=x^3, the tangent at which are inclined at an...

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  6. The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel...

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  7. The point on the curve x^4-4x^3+4x^2+1 at which the tangent is paralle...

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  8. The points on the curve y=x^2+sqrt(1-x^2) at which the tangent is perp...

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  9. The points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpe...

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  10. The equation of the tangent to the curve 4x^2+9y^2=40 and having slope...

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  11. The equation of the tangent to the curve 9x^2+16y^2=52 and which is pa...

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  12. The equation of the tangent to the curve x^2+y^2=52 and which is paral...

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  13. The equation of the tangent to the curve y=x+4/x^2, that is parallel t...

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  14. The equation of the tangent to the curve y=x^3+3x^2-5 and which is per...

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  15. The equation of the tangent to the curve y^2=4x+5 and which is paralle...

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  16. The equation of the tangent to the curve x^2+2y=8 and which is perpend...

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  17. The points of contact of the tangents drawn from origin to the curve 3...

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  18. The point of contact of the tangents drawn from origin to the curve y=...

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  19. The equation of the tangent to the curve y(x-2)(x-3)-x+7=0 where the c...

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  20. The equation of the tangent to the curve y=be^(-x//a) where it crosses...

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