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Show that the tangent to the curve 8y=(x...

Show that the tangent to the curve `8y=(x-2)^(2)` at the point (-6, 8) is parallel to the tangent to the curve `y=x+(3//x)` at the point (1, 4).

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-APPLICATIONS OF DERIVATIVES -Examples for Practice
  1. Find the equations of the normals to the following curves at the given...

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  2. Find the equations of the normals to the following curves at the given...

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  3. Show that the tangent to the curve 8y=(x-2)^(2) at the point (-6, 8) i...

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  4. Find the points on the curve y=sqrt(x-3), where the tangent is perpend...

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  5. Find the equation of the tangent to the curve y=6-x^(2), where the nor...

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  6. If the line x+y=0 touches the curve 2y^(2)=ax^(2)+b at (1, -1), find ...

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  7. The displacement s of a particle at a time t is given by s = t^3 - 4t...

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  8. A particle moves according to law s=t^(3)-6t^(2)+9t+15. Find the veloc...

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  9. The displacement x of a particle at time t is given by x=160t-16t^(2)....

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  10. The side of a square is increasing at the rate of 0.5 cm/sec. Find the...

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  11. The radius of a circular blot of oil is increasing at the rate of 2 cm...

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  12. The radius of a circular blot of oil is increasing at the rate of 2 cm...

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  13. A spherical snow ball is melting so that its volume is decreasing at t...

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  14. A man of 2 metres height walks at a uniform speed of 6 km/hr away from...

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  15. Aladder of 5 m long rest with one end against a vertical wall of heigh...

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  16. If the volume of spherical ball is increasing at the rate of 4pi" cc/s...

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  17. Sand is pouring from a pipe at the rate of 12 c m^3//s . The falling s...

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  18. Water is being poured at the rate of 36" m"^(3)//"sec" in a cylindrica...

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  19. Find the approximate values of : (4.01)^(5)

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  20. Find the approximate values of : sqrt(144.02)

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