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Slope of the normal to the curvex=a(t+si...

Slope of the normal to the curve`x=a(t+sint),y=a(t-sint)` is

A

`cot^2 t/2`

B

`-cot^2 t/2`

C

`tan^2 t/2`

D

`-tan^2 t/2`

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Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. Slope of the normal to the curve x^3+y^3=6xy at (3,3) is

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

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

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  4. If normal of the curve is parallel to x axis then

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

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  6. The equation of the tangent to the curvey=x^3+1 at (1,2) is

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

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

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

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

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

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

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

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

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

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

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  17. The equation of the tangent to the curvey^2=x^3/(2a-x) at (a,a) is

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  18. The equation of the tangent to the curve x^2/a^2-y^2/b^2=1 at (asecthe...

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  19. The equation of the tangent to the curve (x/a)^4+(y/b)^4=2 at (a,b) is

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  20. The tengent line at (a/sqrt(8),a/sqrt(8)) to the curve x^(2//3)+y^(2//...

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