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Find the value of n in N such that the ...

Find the value of `n in N` such that the curve `(x/a)^n+(y/b)^n=2` touches the straight line `x/a+y/b=2` at the point `(a , b)dot`

A

n = 2 only

B

n = -3 only

C

any ` n in R `

D

none of these

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Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TANGENTS AND NORMALS-Chapter Test
  1. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at ...

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  2. What is the angle between these two curves x^3-3xy^2+2=0 and 3x^2y-y^3...

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  3. about to only mathematics

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  4. If y=4x-5 is a tangent to the curve y^(2)=px^(3)+q at (2, 3), then:

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

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  6. The tangent to the curve given by x = e^(t) cos t y = e^(t) " sin t ...

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

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  8. For the parabola y^(2)=4ax, the ratio of the subtangent to the absciss...

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  9. The length of the subtangent to the curve sqrt(x) +sqrt(y)=3 at the po...

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  10. Find the euation of normal to the curve x=a( cos theta + theta sin th...

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  11. Tangents ar drawn to y= cos x from origin then points of contact for t...

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  12. If m denotes the slope of the normal to the curve y= -3 log(9+x^(2)) a...

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  13. If m be the slope of the tangent to the curve e^(2y) = 1+4x^(2), then

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  14. If the curve y=ax^(3) +bx^(2) +c x is inclined at 45^(@) to x-axis at...

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  15. If the curve y=ax^(2)+bx+c passes through the point (1, 2) and the lin...

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  16. The angle between the tangents to the curve y^(2)=2ax at the point whe...

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  17. The intercepts on x- axis made by tangents to the curve, y=int(0)^(x)|...

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  18. Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touc...

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  19. The equation of the normal to the curve y=e^(-2|x|) at the point where...

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  20. The length of subtangent to the curve x^2 + xy + y^2=7 at the point (1...

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