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Find the slope of the normal to the curv...

Find the slope of the normal to the curve `y=x^2-1/(x^2)` at (-1, 0)

A

4

B

`1/4`

C

-4

D

`-1/4`

Text Solution

Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
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  2. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...

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  3. If the normal to the curve y=f(x) at the point (3,4) makes an angle (3...

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  4. If the slope of the tangent to the curve y=ax^3+bx+4 at (2,14) is 21, ...

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  5. For the curve x = t^2 - 1, y = t^2 - t, the tangent line is perpendicu...

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  6. If slope of tangent to curve y=x^3 at a point is equal to ordinate of ...

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  7. Find the coordinates of the point on the curve y=x^2 – 3x + 2 where th...

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  8. The point on the curve y=sqrt(x-1), where the tangent is perpendicular...

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  9. If y=4x-5 is tangent top the curvey^2=px^3+q at (2,3) then

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  10. If the line y=4x-5 touches to the curve y^2=ax^3+b at the point (2,3) ...

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  11. IF the lines y=-4x+b are tangents to the curve y=1/x, then b=

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  12. The point of the curve y^(2)=2(x-3) at which the normal is parallel to...

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  13. The total number of points on the curve x^2-4y^2=1 at which the tangen...

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  14. The normal to the curve x=a(1+cos theta), y=a sin theta " at " 'theta...

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  15. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

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  16. If the line ax+by+c=0 is a tangent to the curve xy=4 then

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  17. If the tangent to y^2=4ax at the point (at^2,2at), where |t|gt1 is a n...

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  18. The points on the curve 9y^2=x^3, where the normal to the curve makes ...

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  19. At what points on the curve y=2/3(x^3) + 1/2(x^2), tangents make equal...

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  20. The equation of the normal to the parabola, x^(2)=8y " at " x=4 is

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