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Slope of the normal to the curve y=cos2x...

Slope of the normal to the curve `y=cos2x` "at" `x=pi//6` is

A

`-1//2`

B

`1//sqrt(3)`

C

`3//4`

D

`4//3`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
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  2. The slope of the tangent to the curve x=at^3,y=at^4at t=1 is

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  3. Slope of the normal to the curve y=cos2x "at" x=pi//6 is

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  4. Slope of the normal curve xy=12 at (3,4) is

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  5. Slope of the normal to the curve x^3+y^3=6xy at (3,3) is

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  6. The slope of the normal to the curve x=a(theta-sintheta),y=a(1 -costhe...

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  7. Slope of the normal to the curvex=a(t+sint),y=a(t-sint) is

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  9. If the slope of the tangent to the curve xy+ax=by at (1,1) is 2, then ...

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  12. The equation of the tangent to the curve y(x+1)=4 at the point (2,4//3...

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  13. The equation of the tangent to the curve 2x^2-xy+3y^2=18 at (3,1) is

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  14. The equation of the tangent to the curve y=x^3-2x+7 at (1,6) is

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  15. The equation of the tangent to the curve y=x^3-2x+7 at (x1,y1) is

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  16. The equation of the tangent to the curve y=(6x)/(x^2-1) at (2,4) is

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  17. The equation of the tangent to the curve y=8/(4+x^2) at x=2 is

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  18. Equation of the tangent line at x=a to the curve y=alogsecx/a is

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  19. Equation of the tengent line at y=a//4 to the curve y(x^2+a^2)=ax^2 is

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  20. Equation of the tangent to the curvey^2=4ax at (at^2,2at) is

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