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Find the point on the curve y^(2)=2x, wh...

Find the point on the curve `y^(2)=2x`, which is nearest to the point (1, -4).

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The correct Answer is:
(2, -2)
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BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE
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  2. Find the point on the curve y^2 = 4x which is nearest to the point (2,...

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  3. Find the point on the curve y^(2)=2x, which is nearest to the point (1...

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  4. Of all the closed cylindrical cans (right circular), of a given volume...

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  6. The radius of a spherical roap bubble is increasing at the rate of 0.2...

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  7. The radius of a spherical roap bubble is increasing at the rate of 0.4...

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  8. Find the equation of the tangent to the curve y=2x^(3)+7, which is per...

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  9. Find the equation of the tangent to the curve y=x^(2)+4x+6, which is p...

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  10. Find the equation of the tangent to the curve x^(3)+4y=4, which is per...

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  11. Find the intervals in which the following functions are strictly incre...

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  12. Find the intervals in the following functions are strictly increasing ...

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  13. Find the intervals in the following functions are strictly increasing ...

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  14. Use differentials to approximate sqrt(25.3)

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  15. Use differentials to approximate 3sqrt(26)

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  16. Use differentials to approximate sqrt(0.60)

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  17. A wire of length 28 m is to be cut into two pieces, one of the pieces ...

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  18. Using differentials to approximate 3sqrt0.009

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  19. The radius of a circle is increasing uniformly at the rate of 5cm/sec....

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  20. Find the equations of the tangent and normal to the hyperbola x^2/a^2 ...

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