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The slope of the tangent to the curve y=...

The slope of the tangent to the curve `y=4-x^(2)` at x = 1 is

A

1

B

-2

C

2

D

3

Text Solution

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The correct Answer is:
B
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ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-I
  1. The slope of the tangent to the curve y=4-x^(2) at x = 1 is

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  2. The slope of tangent to the curve y=3-x^(2) at x = 1 is

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  3. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

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  4. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

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  5. The line y = x + 2, is a tangent to the curve y^2 = 4x at the point :

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  6. The line y = x + 1, is a tangent to the curve y^2= 4x at the point :

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  7. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

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

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  9. On which of the following intervals is the function 'f' given by f(x) ...

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  10. The interval in which y=x^(2)e^(-x) is strictly increasing is

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  11. The interval for which the function f(x)=x^2-4x-5, is strictly increas...

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  12. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

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  13. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

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  14. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

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  15. The equation of the normal to the curve y = sin x at (0,0) is

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  16. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

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  17. The curve y=x^(1/5) has at (0, 0)

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  18. Find the equations of the normals to the curve: 3x^2-y^2=8, which are ...

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  19. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

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  20. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

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