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The curve x^(2)/25 + y^(2)/16 = 2 touche...

The curve `x^(2)/25 + y^(2)/16 = 2` touches the line x/5 + y/4 = 2 at the point

A

(5,4)

B

(4,5)

C

(-5,4)

D

(4,-5)

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The correct Answer is:
A
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HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
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  3. The curve x^(2)/25 + y^(2)/16 = 2 touches the line x/5 + y/4 = 2 at th...

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  4. The parabolas y=x^(2+ax+b and y=x(c-x) touch each other at (1,0). Then...

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  5. For the curve xy^(m)=a^(m+1) the length of the subnormal at any point ...

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  6. If the subnormal at any point on the curve y^(n) = ax is a constant, t...

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  7. The length of subtangent at any point (x,y) on y = 4e^(x/7) is

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  8. The lengths of the subnormal and subtangent to the parabola y^(2)=8x a...

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

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  10. For the curve x^(3) y^(3)=32, the length of the subtangent at (2,-2) i...

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  11. For the curve y=ax^(n) the length of the subnormal at any point is a c...

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  12. Subnormal to the curve xy = c^(2)/2 at (c/2,c) is

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  13. The subtangent at x = pi/2 on the curve y = x . sin x is

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  14. The length of the subnormal to the curve x^(2)-y^(2) =12 at (4,-2) is

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  15. The length of the subnormal at 't' on the curve x = a (t + sin t), y =...

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  16. The length of the subtangent at t on the curve x=a(t+sint),y=a(1-cost)...

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  17. The length of the subnormal at any point(x,y) on the curve y^(2) = 4ax...

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  18. The length of the subnormal to the curve y^(2)=x^(3) at the point (4, ...

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  19. The length of the subtangent to the curve sqrtx + sqrt y = 3 at (4,1)

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  20. The length of the subtangent to the curve x^(2)y^(2) = a^(4) at (-a, -...

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