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The area of the triangle formed by norma...

The area of the triangle formed by normal at the point `(1, 0)` on the curve `x = e^(siny)` with axes is

A

`1//4`

B

`1//2`

C

`3//4`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. What is the slope of the normal at the point ("at"^(2), "2 at") of the...

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  2. If the line, ax+ by + c = 0 is a normal to the curve xy =2

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  3. The area of the triangle formed by normal at the point (1, 0) on the c...

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  4. If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined...

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  5. The slope of the tangent to the curve y = 3x^(2) - 5x + 6 at (1, 4) is

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

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  7. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

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  8. What is the x coordinate of the point on the curve f(x)=sqrt(x)(7x-6) ...

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  9. The slope of the tangent to the curves x=3t^2+1,y=t^2-1 at t=1 is

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  10. Find the distance between the point (1, 1) and the tangent to the curv...

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  11. If OT is the perpendicular drawn from the origin to the tangent at any...

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  12. Determine p such that the length of the such-tangent and sub-normal is...

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  13. The angle at which the curve y=ke^(kx) intersects Y-axis is

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  14. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

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  15. If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x inters...

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

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  17. Show the condition that the curves a x^2+b y^2=1 and a^(prime)x^2+b^(p...

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  18. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

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  19. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  20. If curve x^2=9a(9-y) and x^2=a(y+1) intersect orthogonally then value ...

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