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The length of the normal at t on the cur...

The length of the normal at t on the curve `x=a(t+sint), y=a(1-cos t),` is

A

asint

B

`2asin^3 (t // 2) sec(t // 2)`

C

`2alphasin(t//2)tan(t//2)`

D

`2alphasin(t//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-TANGENTS AND NORMALS-PROBLEM SET (2) (MULTIPLE CHOICE QUESTIONS)
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  2. If the two curves y = a^x and y =b^x intersect at an angle alpha, then...

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  3. Out of the four curves given below chciose the curve which intersects...

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  4. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

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  5. If at any point (x, y) on a curve subtangent and subnormal are of equa...

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  6. The length of sub-tangent to the curve sqrtx+sqrty=3 at the point (4,...

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  7. The length of the subtangent to the curve x^2+xy+y^2=7 at (1,-3) is

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  8. The length of the normal at t on the curve x=a(t+sint), y=a(1-cos t), ...

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  9. The length of the normal to the curve x= a(t +sin t),y = a(1-cos t), "...

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  10. Sum of squares of intercepts made on co-ordinate axes hy the tangents ...

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  11. The portion of the tangent of the curve x^(2/3)+y^(2/3)=a^(2/3) ,which...

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  12. At a point (a// 8, a// 8) on the curve x^(1//3) + y^(1//3) = a^(1//3) ...

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  13. In the curve x =a [cost+ log tan (t // 2)], y =a sin t, the portion of...

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  14. The triangle formed by the tangent to the curve f(x)=x^2+bx-b the poin...

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  15. The length of the normal at theta on the curve x = a cos^3 theta,y=asi...

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  16. The length of the normal to the curve at (x, y) y=a((e^(x//a)+e^(-x//a...

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  17. The value of n for which the length of the subnormal of the curve xy^n...

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  18. If the tangent at P on the curve x^my^n =d^(m+n) meets the co-ordinate...

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  19. For the parabola y^2 = 4ax, the ratio of the subtangentto the abscissa...

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  20. The tangent at any point. on the curve x^4+y^4=a^4 cuts off intercepts...

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